arxiv: 2603.17045 · v2 · submitted 2026-03-17 · ✦ hep-th

Recognition: 2 theorem links

· Lean Theorem

The gravitational S-matrix from the path integral: asymptotic symmetries and soft theorems

Jack Isen , Per Kraus , Ruben Monten , Richard M. Myers

Authors on Pith no claims yet

Pith reviewed 2026-05-15 09:25 UTC · model grok-4.3

classification ✦ hep-th

keywords gravitational S-matrixasymptotic symmetriesBMS transformationssoft graviton theoremspath integralWard identitiesCarrollian boundary

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The pith

The gravitational path integral with asymptotic boundaries yields BMS Ward identities that enforce the soft graviton theorems.

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

This paper formulates the S-matrix for gravity using a path integral that incorporates asymptotic boundary conditions, defining a Carrollian boundary partition function. Invariance of this function under extended BMS transformations produces Ward identities satisfied by the boundary correlators. These correlators relate directly to standard S-matrix elements, yielding an efficient derivation of the leading and subleading soft graviton theorems from BMS symmetry at tree level. The arguments are checked by explicit diagrammatic evaluation of specific partition-function terms that obey the identities. The subleading theorem is additionally recovered from Poincaré Ward identities plus the leading theorem.

Core claim

The path integral with asymptotic boundary conditions defines a Carrollian boundary partition function whose invariance under extended BMS transformations implies Ward identities for the associated boundary correlators; these identities are simply related to S-matrix elements and thereby derive the leading and subleading soft graviton theorems from BMS symmetry.

What carries the argument

The Carrollian boundary partition function, defined by the gravitational path integral with asymptotic boundary conditions, whose invariance under extended BMS transformations generates the Ward identities relating boundary correlators to S-matrix elements.

If this is right

The leading soft graviton theorem follows directly as a consequence of BMS symmetry through the Ward identities.
The subleading soft graviton theorem likewise follows from the same BMS invariance.
Explicit computations of selected terms in the partition function confirm that they satisfy the derived Ward identities.
The subleading theorem is fixed once the leading theorem and Poincaré Ward identities are imposed.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

The same boundary-partition-function construction could be applied to loop-level corrections if the asymptotic boundary conditions are suitably extended.
Analogous Ward-identity derivations might connect asymptotic symmetries to soft theorems in other theories that admit Carrollian boundary descriptions.
The direct link between boundary correlators and S-matrix elements suggests a possible route to organize flat-space scattering data without reference to bulk diagrams.

Load-bearing premise

The derivation holds provided subtleties associated with poles in the superrotations and corner terms can be handled in the usual way.

What would settle it

An explicit diagrammatic computation of a partition-function term whose associated correlator violates one of the BMS Ward identities would falsify the central claim.

Figures

Figures reproduced from arXiv: 2603.17045 by Jack Isen, Per Kraus, Richard M. Myers, Ruben Monten.

read the original abstract

We extend a previously developed formulation of the S-matrix, based on a path integral with asymptotic boundary conditions, to include gravity. The path integral defines a Carrollian boundary partition function whose invariance under asymptotic symmetries implies Ward identities obeyed by the associated boundary correlators, which are simply related to standard S-matrix elements. We develop this in the context of extended BMS transformations at tree level. Modulo well-known subtleties associated with poles in the superrotations and corner terms, this leads to an efficient derivation of the leading and subleading soft graviton theorems from BMS symmetry. Our general arguments are verified by explicit diagrammatic computation of specific terms in the partition function, which are shown to satisfy the Ward identities. We also show how, in our context, the subleading soft theorem is fixed by Poincar\'e Ward identities together with the leading soft theorem.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Desk Editor's Note private letter to a colleague

This paper gives a path-integral derivation of the soft graviton theorems from extended BMS invariance on a Carrollian boundary partition function, with explicit checks but the usual pole and corner caveats.

read the letter

The main contribution is extending an earlier path-integral S-matrix construction to gravity. They define a Carrollian boundary partition function from asymptotic boundary conditions, then use its invariance under extended BMS transformations to produce Ward identities for boundary correlators that map to S-matrix elements. This yields the leading and subleading soft graviton theorems at tree level. They also show the subleading theorem follows from the leading one plus Poincaré Ward identities, and they back the general claims with explicit diagrammatic computations of specific terms in the partition function that satisfy the expected identities.

Referee Report

2 major / 2 minor

Summary. The paper extends a path-integral formulation of the S-matrix to gravity via asymptotic boundary conditions, defining a Carrollian boundary partition function. Invariance under extended BMS transformations implies Ward identities for boundary correlators related to S-matrix elements. This framework derives the leading and subleading soft graviton theorems at tree level (modulo subtleties with superrotation poles and corner terms), verified by explicit diagrammatic computations of partition-function terms. The subleading theorem is additionally shown to follow from Poincaré Ward identities combined with the leading soft theorem.

Significance. If the acknowledged subtleties are handled rigorously, the work supplies an efficient path-integral derivation of soft theorems directly from BMS symmetry, extending prior S-matrix formulations. The explicit diagrammatic verifications and the reduction of the subleading case to Poincaré plus leading provide concrete support and structural insight, strengthening connections between asymptotic symmetries and gravitational scattering.

major comments (2)

[Main derivation of Ward identities] The central step from path-integral invariance under extended BMS transformations to the Ward identities for boundary correlators (detailed in the main derivation) requires more explicit equations showing how the Carrollian partition function maps to the precise form of the identities used for the soft theorems, including the relation to standard S-matrix elements.
[Abstract and soft theorems section] Abstract and the section discussing the soft theorems: the derivation is qualified as holding 'modulo well-known subtleties associated with poles in the superrotations and corner terms'. Since these subtleties are load-bearing for the Ward identities and the central claim, a dedicated clarification of their treatment within the path-integral setup is needed.

minor comments (2)

Ensure consistent numbering and cross-referencing of all equations, especially those defining the boundary correlators and soft factors.
[Diagrammatic verification section] The diagrammatic figures in the verification section would benefit from explicit labels connecting diagram elements to the corresponding terms in the Ward identities.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the positive assessment and constructive comments. We address each major comment below and will make the requested clarifications in a revised version of the manuscript.

read point-by-point responses

Referee: [Main derivation of Ward identities] The central step from path-integral invariance under extended BMS transformations to the Ward identities for boundary correlators (detailed in the main derivation) requires more explicit equations showing how the Carrollian partition function maps to the precise form of the identities used for the soft theorems, including the relation to standard S-matrix elements.

Authors: We agree that expanding the central derivation with additional explicit equations will improve readability. In the revised manuscript we will insert a new subsection (or expanded paragraphs in the existing derivation) that step-by-step shows: (i) the variation of the Carrollian boundary partition function under an extended BMS transformation, (ii) the resulting Ward identity for the boundary correlators, and (iii) the direct dictionary that identifies these correlators with standard S-matrix elements. This will make the mapping fully explicit without altering the underlying logic. revision: yes
Referee: [Abstract and soft theorems section] Abstract and the section discussing the soft theorems: the derivation is qualified as holding 'modulo well-known subtleties associated with poles in the superrotations and corner terms'. Since these subtleties are load-bearing for the Ward identities and the central claim, a dedicated clarification of their treatment within the path-integral setup is needed.

Authors: We acknowledge that the parenthetical qualification in the abstract and soft-theorems section requires a more self-contained discussion. In the revision we will add a dedicated paragraph (or short subsection) that explicitly states how the path-integral formulation handles the superrotation poles and corner terms: we will recall the standard regularization used in the literature, note that the same regularization is inherited by the Carrollian partition function, and clarify that the Ward identities remain valid once these terms are subtracted in the usual way. This will remove any ambiguity while preserving the tree-level scope of the derivation. revision: yes

Circularity Check

0 steps flagged

Derivation chain is self-contained with no circular reductions

full rationale

The paper extends a prior path-integral formulation of the S-matrix to gravity and shows that BMS invariance of the Carrollian boundary partition function implies Ward identities for boundary correlators tied to S-matrix elements. This yields the leading soft graviton theorem directly from BMS symmetry at tree level. The subleading theorem is then shown to follow from Poincaré Ward identities together with the already-derived leading theorem. No equation or step reduces the target soft theorems to their inputs by construction, no parameter is fitted and relabeled as a prediction, and no load-bearing uniqueness theorem is imported solely via self-citation. The central BMS-to-Ward-identity mapping is independent of the soft theorems themselves, and the manuscript explicitly flags the standard subtleties rather than smuggling assumptions. The derivation is therefore self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

The central claim rests on standard quantum-field-theory assumptions about path integrals with asymptotic boundary conditions and on the known properties of extended BMS symmetries; no new free parameters or invented entities are introduced.

axioms (2)

domain assumption A path integral with asymptotic boundary conditions defines the S-matrix
The paper extends a previously developed formulation to gravity.
domain assumption Invariance under extended BMS transformations implies Ward identities for the boundary correlators
This is the key step that produces the soft theorems.

pith-pipeline@v0.9.0 · 5449 in / 1322 out tokens · 49157 ms · 2026-05-15T09:25:41.996931+00:00 · methodology

discussion (0)

Lean theorems connected to this paper

Citations machine-checked in the Pith Canon. Every link opens the source theorem in the public Lean library.

IndisputableMonolith/Foundation/RealityFromDistinction.lean reality_from_one_distinction unclear

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unclear
Relation between the paper passage and the cited Recognition theorem.

The path integral defines a Carrollian boundary partition function whose invariance under asymptotic symmetries implies Ward identities obeyed by the associated boundary correlators, which are simply related to standard S-matrix elements.
IndisputableMonolith/Cost/FunctionalEquation.lean washburn_uniqueness_aczel unclear

?

unclear
Relation between the paper passage and the cited Recognition theorem.

Modulo well-known subtleties associated with poles in the superrotations and corner terms, this leads to an efficient derivation of the leading and subleading soft graviton theorems from BMS symmetry.

What do these tags mean?

matches: The paper's claim is directly supported by a theorem in the formal canon.
supports: The theorem supports part of the paper's argument, but the paper may add assumptions or extra steps.
extends: The paper goes beyond the formal theorem; the theorem is a base layer rather than the whole result.
uses: The paper appears to rely on the theorem as machinery.
contradicts: The paper's claim conflicts with a theorem or certificate in the canon.
unclear: Pith found a possible connection, but the passage is too broad, indirect, or ambiguous to say the theorem truly supports the claim.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

On Carrollian Loop Amplitudes for Gauge Theory and Gravity
hep-th 2026-04 unverdicted novelty 6.0

Loop-level Carrollian amplitudes in N=4 SYM and N=8 supergravity are differential operators on tree-level versions, with logarithmic eikonal behavior and IR-safe factorization via natural splitting.
On Carrollian Loop Amplitudes for Gauge Theory and Gravity
hep-th 2026-04 unverdicted novelty 5.0

Loop-level Carrollian amplitudes in gauge theory and gravity preserve tree-level structures, show logarithmic dependence in the eikonal regime, and factorize to yield an IR-safe definition.

Reference graph

Works this paper leans on

112 extracted references · 112 canonical work pages · cited by 1 Pith paper · 42 internal anchors

[1]

S. S. Gubser, I. R. Klebanov, and A. M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett. B 428 (1998) 105–114,arXiv:hep-th/9802109

work page internal anchor Pith review Pith/arXiv arXiv 1998
[2]

Anti De Sitter Space And Holography

E. Witten,Anti-de Sitter space and holography,Adv. Theor. Math. Phys. 2 (1998) 253– 291,arXiv:hep-th/9802150

work page internal anchor Pith review Pith/arXiv arXiv 1998
[3]

I. Y. Arefeva, L. D. Faddeev, and A. A. Slavnov,Generating Functional for the s Matrix in Gauge Theories,Teor. Mat. Fiz. 21 (1974) 311–321. [4]Methods in Field Theory. Les Houches Summer School in Theoretical Physics. Session 28, July 28-September 6, 1975, . 1976

work page 1974
[4]

Jevicki and C.-k

A. Jevicki and C.-k. Lee,The S Matrix Generating Functional and Effective Action, Phys. Rev. D 37 (1988) 1485

work page 1988
[5]

S. Kim, P. Kraus, R. Monten, and R. M. Myers,S-matrix path integral approach to symmetries and soft theorems,JHEP 10 (2023) 036,arXiv:2307.12368 [hep-th]

work page arXiv 2023
[6]

Kraus and R

P. Kraus and R. M. Myers,Carrollian Partition Functions and the Flat Limit of AdS, arXiv:2407.13668 [hep-th]

work page arXiv
[7]

Kraus and R

P. Kraus and R. M. Myers,Carrollian partition function for bulk Yang-Mills theory, JHEP 08 (2025) 180,arXiv:2503.00916 [hep-th]

work page arXiv 2025
[8]

E. Have, K. Nguyen, S. Prohazka, and J. Salzer,Massive carrollian fields at timelike infinity,JHEP 07 (2024) 054,arXiv:2402.05190 [hep-th]

work page arXiv 2024
[9]

Ammon, F

M. Ammon, F. Capone, and C. Sieling,Flat Holography & Holographic Renormaliza- tion: Scalar Field,arXiv:2512.14818 [hep-th]

work page arXiv
[10]

Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time

C. Duval, G. W. Gibbons, P. A. Horvathy, and P. M. Zhang,Carroll versus Newton and Galilei: two dual non-Einsteinian concepts of time,Class. Quant. Grav. 31 (2014) 085016,arXiv:1402.0657 [gr-qc]. 60

work page internal anchor Pith review Pith/arXiv arXiv 2014
[11]

Conformal Carroll groups and BMS symmetry

C. Duval, G. W. Gibbons, and P. A. Horvathy,Conformal Carroll groups and BMS symmetry,Class. Quant. Grav. 31 (2014) 092001,arXiv:1402.5894 [gr-qc]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[12]

Gauging the Carroll Algebra and Ultra-Relativistic Gravity

J. Hartong,Gauging the Carroll Algebra and Ultra-Relativistic Gravity,JHEP 08 (2015) 069,arXiv:1505.05011 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[13]

Holographic Reconstruction of 3D Flat Space-Time

J. Hartong,Holographic Reconstruction of 3D Flat Space-Time,JHEP 10 (2016) 104, arXiv:1511.01387 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[14]

Flat Holography: Aspects of the dual field theory

A. Bagchi, R. Basu, A. Kakkar, and A. Mehra,Flat Holography: Aspects of the dual field theory,JHEP 12 (2016) 147,arXiv:1609.06203 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2016
[15]

Flat holography and Carrollian fluids

L. Ciambelli, C. Marteau, A. C. Petkou, P. M. Petropoulos, and K. Siampos,Flat holography and Carrollian fluids,JHEP 07 (2018) 165,arXiv:1802.06809 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2018
[16]

Ciambelli, R

L. Ciambelli, R. G. Leigh, C. Marteau, and P. M. Petropoulos,Carroll Structures, Null Geometry and Conformal Isometries,Phys. Rev. D 100 no. 4, (2019) 046010, arXiv:1905.02221 [hep-th]

work page arXiv 2019
[17]

Bagchi, R

A. Bagchi, R. Basu, A. Mehra, and P. Nandi,Field Theories on Null Manifolds,JHEP 02 (2020) 141,arXiv:1912.09388 [hep-th]

work page arXiv 2020
[18]

Donnay, A

L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi,Carrollian Perspective on Celestial Holography,Phys. Rev. Lett. 129 no. 7, (2022) 071602,arXiv:2202.04702 [hep-th]

work page arXiv 2022
[19]

Bagchi, S

A. Bagchi, S. Banerjee, R. Basu, and S. Dutta,Scattering Amplitudes: Celestial and Carrollian,Phys. Rev. Lett. 128 no. 24, (2022) 241601,arXiv:2202.08438 [hep-th]

work page arXiv 2022
[20]

Donnay, A

L. Donnay, A. Fiorucci, Y. Herfray, and R. Ruzziconi,Bridging Carrollian and celestial holography,Phys. Rev. D 107 no. 12, (2023) 126027,arXiv:2212.12553 [hep-th]

work page arXiv 2023
[21]

Bagchi, P

A. Bagchi, P. Dhivakar, and S. Dutta,AdS Witten diagrams to Carrollian correlators, JHEP 04 (2023) 135,arXiv:2303.07388 [hep-th]

work page arXiv 2023
[22]

Nguyen and P

K. Nguyen and P. West,Carrollian Conformal Fields and Flat Holography,Universe 9 no. 9, (2023) 385,arXiv:2305.02884 [hep-th]

work page arXiv 2023
[23]

de Boer, J

J. de Boer, J. Hartong, N. A. Obers, W. Sybesma, and S. Vandoren,Carroll stories, JHEP 09 (2023) 148,arXiv:2307.06827 [hep-th]

work page arXiv 2023
[24]

Mason, R

L. Mason, R. Ruzziconi, and A. Yelleshpur Srikant,Carrollian amplitudes and celestial symmetries,JHEP 05 (2024) 012,arXiv:2312.10138 [hep-th]. 61

work page arXiv 2024
[25]

L. F. Alday, M. Nocchi, R. Ruzziconi, and A. Yelleshpur Srikant,Carrollian Amplitudes from Holographic Correlators,arXiv:2406.19343 [hep-th]

work page arXiv
[26]

Cotler, K

J. Cotler, K. Jensen, S. Prohazka, A. Raz, M. Riegler, and J. Salzer,Quantizing Carrollian field theories,JHEP 10 (2024) 049,arXiv:2407.11971 [hep-th]

work page arXiv 2024
[27]

Ciambelli,Asymptotic limit of null hypersurfaces,Class

L. Ciambelli,Asymptotic limit of null hypersurfaces,Class. Quant. Grav. 42 no. 23, (2025) 235020,arXiv:2501.17357 [hep-th]

work page arXiv 2025
[28]

Operator Product Expansion in Carrollian CFT

K. Nguyen and J. Salzer,Operator product expansion in Carrollian CFT,JHEP 07 (2025) 193,arXiv:2503.15607 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2025
[29]

Poulias and S

G. Poulias and S. Vandoren,On Carroll partition functions and flat space holography, JHEP 06 (2025) 232,arXiv:2503.20615 [hep-th]

work page arXiv 2025
[30]

Surubaru and B

I. Surubaru and B. Zhu,Carrollian amplitudes and holographic correlators in AdS3/CFT2,Phys. Rev. D 112 no. 2, (2025) 026023,arXiv:2504.07650 [hep-th]

work page arXiv 2025
[31]

Lipstein, R

A. Lipstein, R. Ruzziconi, and A. Yelleshpur Srikant,Towards a flat space Carrollian hologram from AdS4/CFT3,JHEP 06 (2025) 073,arXiv:2504.10291 [hep-th]

work page arXiv 2025
[32]

Agrawal and K

S. Agrawal and K. Nguyen,Soft theorems and spontaneous symmetry breaking,Phys. Rev. D 112 no. 2, (2025) L021903,arXiv:2504.10577 [hep-th]

work page arXiv 2025
[33]

Fiorucci, S

A. Fiorucci, S. Pekar, P. Marios Petropoulos, and M. Vilatte,Carrollian-Holographic Derivation of Gravitational Flux-Balance Laws,Phys. Rev. Lett. 135 no. 26, (2025) 261602,arXiv:2505.00077 [hep-th]

work page arXiv 2025
[34]

Cotler, P

J. Cotler, P. Dhivakar, and K. Jensen,Carrollian holographic duals are non-local, arXiv:2512.05072 [hep-th]

work page arXiv
[35]

The Carrollian Kaleidoscope

A. Bagchi, A. Banerjee, P. Dhivakar, S. Mondal, and A. Shukla,The Carrollian Kaleidoscope,arXiv:2506.16164 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv
[36]

Ciambelli and P

L. Ciambelli and P. Jai-akson,Foundations of Carrollian Geometry, arXiv:2510.21651 [hep-th]

work page arXiv
[37]

Nguyen,Lectures on Carrollian Holography,arXiv:2511.10162 [hep-th]

K. Nguyen,Lectures on Carrollian Holography,arXiv:2511.10162 [hep-th]

work page arXiv
[38]

Ruzziconi,Carrollian Physics and Holography,arXiv:2602.02644 [hep-th]

R. Ruzziconi,Carrollian Physics and Holography,arXiv:2602.02644 [hep-th]

work page arXiv
[39]

Lectures on the Infrared Structure of Gravity and Gauge Theory

A. Strominger,Lectures on the Infrared Structure of Gravity and Gauge Theory, arXiv:1703.05448 [hep-th]. 62

work page internal anchor Pith review Pith/arXiv arXiv
[40]

Raclariu,Lectures on Celestial Holography,arXiv:2107.02075 [hep-th]

A.-M. Raclariu,Lectures on Celestial Holography,arXiv:2107.02075 [hep-th]

work page arXiv
[41]

Pasterski,Lectures on celestial amplitudes,Eur

S. Pasterski,Lectures on celestial amplitudes,Eur. Phys. J. C 81 no. 12, (2021) 1062, arXiv:2108.04801 [hep-th]

work page arXiv 2021
[42]

Pasterski, M

S. Pasterski, M. Pate, and A.-M. Raclariu,Celestial Holography, inSnowmass 2021. 11, 2021.arXiv:2111.11392 [hep-th]

work page arXiv 2021
[43]

McLoughlin, A

T. McLoughlin, A. Puhm, and A.-M. Raclariu,The SAGEX review on scattering amplitudes chapter 11: soft theorems and celestial amplitudes,J. Phys. A 55 no. 44, (2022) 443012,arXiv:2203.13022 [hep-th]

work page arXiv 2022
[44]

Donnay,Celestial holography: An asymptotic symmetry perspective,Phys

L. Donnay,Celestial holography: An asymptotic symmetry perspective,Phys. Rept. 1073 (2024) 1–41,arXiv:2310.12922 [hep-th]

work page arXiv 2024
[45]

Bagchi, P

A. Bagchi, P. Dhivakar, and S. Dutta,Holography in Flat Spacetimes: the case for Carroll,arXiv:2311.11246 [hep-th]

work page arXiv
[46]

Costello and N

K. Costello and N. M. Paquette,Celestial holography meets twisted holography: 4d amplitudes from chiral correlators,JHEP 10 (2022) 193,arXiv:2201.02595 [hep-th]

work page arXiv 2022
[47]

Costello, N

K. Costello, N. M. Paquette, and A. Sharma,Top-Down Holography in an Asymptot- ically Flat Spacetime,Phys. Rev. Lett. 130 no. 6, (2023) 061602,arXiv:2208.14233 [hep-th]

work page arXiv 2023
[48]

Costello, N

K. Costello, N. M. Paquette, and A. Sharma,Burns space and holography,JHEP 10 (2023) 174,arXiv:2306.00940 [hep-th]

work page arXiv 2023
[49]

Bondi, M

H. Bondi, M. G. J. van der Burg, and A. W. K. Metzner,Gravitational waves in general relativity. 7. Waves from axisymmetric isolated systems,Proc. Roy. Soc. Lond. A 269 (1962) 21–52

work page 1962
[50]

Sachs,Asymptotic symmetries in gravitational theory,Phys

R. Sachs,Asymptotic symmetries in gravitational theory,Phys. Rev. 128 (1962) 2851– 2864

work page 1962
[51]

Symmetries of asymptotically flat 4 dimensional spacetimes at null infinity revisited

G. Barnich and C. Troessaert,Symmetries of asymptotically flat 4 dimensional space- times at null infinity revisited,Phys. Rev. Lett. 105 (2010) 111103,arXiv:0909.2617 [gr-qc]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[52]

Weinberg,Infrared photons and gravitons,Phys

S. Weinberg,Infrared photons and gravitons,Phys. Rev. 140 (1965) B516–B524

work page 1965
[53]

Evidence for a New Soft Graviton Theorem

F. Cachazo and A. Strominger,Evidence for a New Soft Graviton Theorem, arXiv:1404.4091 [hep-th]. 63

work page internal anchor Pith review Pith/arXiv arXiv
[54]

T. He, V. Lysov, P. Mitra, and A. Strominger,BMS supertranslations and Weinberg’s soft graviton theorem,JHEP 05 (2015) 151,arXiv:1401.7026 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[55]

Aspects of the BMS/CFT correspondence

G. Barnich and C. Troessaert,Aspects of the BMS/CFT correspondence,JHEP 05 (2010) 062,arXiv:1001.1541 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[56]

Supertranslations call for superrotations

G. Barnich and C. Troessaert,Supertranslations call for superrotations,PoS CNCFG2010 (2010) 010,arXiv:1102.4632 [gr-qc]

work page internal anchor Pith review Pith/arXiv arXiv 2010
[57]

BMS charge algebra

G. Barnich and C. Troessaert,BMS charge algebra,JHEP 12 (2011) 105, arXiv:1106.0213 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2011
[58]

On BMS Invariance of Gravitational Scattering

A. Strominger,On BMS Invariance of Gravitational Scattering,JHEP 07 (2014) 152, arXiv:1312.2229 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[59]

Semiclassical Virasoro Symmetry of the Quantum Gravity S-Matrix

D. Kapec, V. Lysov, S. Pasterski, and A. Strominger,Semiclassical Virasoro symmetry of the quantum gravityS-matrix,JHEP 08 (2014) 058,arXiv:1406.3312 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[60]

Asymptotic symmetries and subleading soft graviton theorem

M. Campiglia and A. Laddha,Asymptotic symmetries and subleading soft graviton theorem,Phys. Rev. D 90 no. 12, (2014) 124028,arXiv:1408.2228 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[61]

New symmetries for the Gravitational S-matrix

M. Campiglia and A. Laddha,New symmetries for the Gravitational S-matrix,JHEP 04 (2015) 076,arXiv:1502.02318 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[62]

Asymptotic symmetries of gravity and soft theorems for massive particles

M. Campiglia and A. Laddha,Asymptotic symmetries of gravity and soft theorems for massive particles,JHEP 12 (2015) 094,arXiv:1509.01406 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2015
[63]

Distler, R

J. Distler, R. Flauger, and B. Horn,Double-soft graviton amplitudes and the extended BMS charge algebra,JHEP 08 (2019) 021,arXiv:1808.09965 [hep-th]

work page arXiv 2019
[64]

Campiglia and A

M. Campiglia and A. Laddha,Loop Corrected Soft Photon Theorem as a Ward Identity, JHEP 10 (2019) 287,arXiv:1903.09133 [hep-th]

work page arXiv 2019
[65]

Campiglia and J

M. Campiglia and J. Peraza,Generalized BMS charge algebra,Phys. Rev. D 101 no. 10, (2020) 104039,arXiv:2002.06691 [gr-qc]

work page arXiv 2020
[66]

Campiglia and A

M. Campiglia and A. Laddha,BMS Algebra, Double Soft Theorems, and All That, arXiv:2106.14717 [hep-th]

work page arXiv
[67]

Capone, P

F. Capone, P. Mitra, A. Poole, and B. Tomova,Phase space renormalization and finite BMS charges in six dimensions,JHEP 11 (2023) 034,arXiv:2304.09330 [hep-th]. 64

work page arXiv 2023
[68]

Agrawal, L

S. Agrawal, L. Donnay, K. Nguyen, and R. Ruzziconi,Logarithmic soft graviton theorems from superrotation Ward identities,JHEP 02 (2024) 120,arXiv:2309.11220 [hep-th]

work page arXiv 2024
[69]

S. Choi, A. Laddha, and A. Puhm,Asymptotic Symmetries for Logarithmic Soft Theorems in Gauge Theory and Gravity,arXiv:2403.13053 [hep-th]

work page arXiv
[70]

Campiglia and A

M. Campiglia and A. Sudhakar,Gravitational Poisson brackets at null infinity compatible with smooth superrotations,JHEP 12 (2024) 170,arXiv:2408.13067 [gr-qc]

work page arXiv 2024
[71]

S. Choi, A. Laddha, and A. Puhm,The classical super-rotation infrared triangle. Classical logarithmic soft theorem as conservation law in gravity,JHEP 04 (2025) 138, arXiv:2412.16142 [hep-th]

work page arXiv 2025
[72]

Z. Bern, S. Davies, and J. Nohle,On Loop Corrections to Subleading Soft Behavior of Gluons and Gravitons,Phys. Rev. D 90 no. 8, (2014) 085015,arXiv:1405.1015 [hep-th]

work page internal anchor Pith review Pith/arXiv arXiv 2014
[73]

Sahoo and A

B. Sahoo and A. Sen,Classical and Quantum Results on Logarithmic Terms in the Soft Theorem in Four Dimensions,JHEP 02 (2019) 086,arXiv:1808.03288 [hep-th]

work page arXiv 2019
[74]

Y. Ma, G. Sterman, and A. Venkata,Soft Photon Theorem in QCD with Massless Quarks,Phys. Rev. Lett. 132 no. 9, (2024) 091902,arXiv:2311.06912 [hep-ph]

work page arXiv 2024
[75]

Baulieu, L

L. Baulieu, L. Ciambelli, and T. Wetzstein,Extended-BMS Anomalies and Flat Space Holography,arXiv:2504.10304 [hep-th]

work page arXiv
[76]

Atul Bhatkar,Asymptotic conservation law with Feynman boundary condition,Phys

S. Atul Bhatkar,Asymptotic conservation law with Feynman boundary condition,Phys. Rev. D 103 no. 12, (2021) 125026,arXiv:2101.09734 [hep-th]

work page arXiv 2021
[77]

Brice˜ no, H

M. Brice˜ no, H. A. Gonz´ alez, M. Henneaux, and A. P´ erez,Matching conditions at null infinity in the presence of logarithms: the role of advanced and retarded radiation, JHEP 02 (2026) 103,arXiv:2510.21072 [hep-th]

work page arXiv 2026
[78]

Holography in the Flat Space Limit

L. Susskind,Holography in the flat space limit,AIP Conf. Proc. 493 no. 1, (1999) 98–112, arXiv:hep-th/9901079

work page internal anchor Pith review Pith/arXiv arXiv 1999
[79]

S-Matrices from AdS Spacetime

J. Polchinski,S matrices from AdS space-time,arXiv:hep-th/9901076

work page internal anchor Pith review Pith/arXiv arXiv
[80]

S. B. Giddings,Flat space scattering and bulk locality in the AdS / CFT correspondence, Phys. Rev. D 61 (2000) 106008,arXiv:hep-th/9907129. 65

work page internal anchor Pith review Pith/arXiv arXiv 2000

Showing first 80 references.