pith. sign in

arxiv: 2606.29625 · v1 · pith:WTFLMZ2Onew · submitted 2026-06-28 · ✦ hep-th

Metric-like Cubic Vertices for Massless Bosonic Higher-Spin Fields in AdS₃

Freddie King , Taylor Pomfret , Karapet Mkrtchyan This is my paper

Pith reviewed 2026-06-30 01:44 UTC · model grok-4.3

classification ✦ hep-th
keywords higher-spin fieldsAdS3cubic verticesgauge invariancemetric-like formulationbosonic fieldsmassless fieldsthree-dimensional gravity
0
0 comments X

The pith

Cubic vertices for massless higher-spin fields in AdS3 are constructed by extending flat-space interactions through gauge invariance.

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

The paper shows how to obtain parity-even transverse-traceless metric-like cubic vertices for massless bosonic higher-spin fields in three-dimensional anti-de Sitter space. It starts from the two- and three-derivative vertices already known in flat three-dimensional space and modifies them so that gauge invariance holds in the curved AdS3 background. Dimension-dependent identities special to three dimensions are used to close the construction. A reader would care because consistent cubic interactions form a basic building block for any interacting higher-spin theory, especially in the context of three-dimensional gravity.

Core claim

We derive parity-even transverse-traceless metric-like cubic vertices for massless bosonic higher-spin fields in AdS₃. Starting from the known two- and three-derivative vertices in three-dimensional flat space, we construct their AdS₃ extensions by imposing gauge invariance and accounting for dimension-dependent identities. The result is shown to be consistent with minimal coupling to gravity.

What carries the argument

Imposition of gauge invariance on flat-space cubic vertices, combined with three-dimensional dimension-dependent identities, to produce consistent AdS3 vertices.

If this is right

  • The vertices remain consistent when the fields are minimally coupled to gravity.
  • Only parity-even interactions are obtained.
  • The construction applies to all massless bosonic higher spins.
  • Transverse-traceless conditions are preserved in the metric-like formulation.

Where Pith is reading between the lines

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

  • The same lifting procedure might apply to quartic or higher vertices if analogous identities exist.
  • Three-dimensional higher-spin theories could admit simpler interaction structures than their higher-dimensional counterparts.
  • This approach may connect to known exact solutions in three-dimensional gravity with higher spins.

Load-bearing premise

That the known flat-space vertices extend to AdS3 without extra structures or inconsistencies when only gauge invariance and dimension-dependent identities are imposed.

What would settle it

Explicit calculation of the cubic vertex for a specific higher spin, such as spin 3, followed by direct verification that the AdS3 correction terms restore full gauge invariance.

read the original abstract

We derive parity-even transverse-traceless metric-like cubic vertices for massless bosonic higher-spin fields in AdS$_3$. Starting from the known two- and three-derivative vertices in three-dimensional flat space, we construct their AdS$_3$ extensions by imposing gauge invariance and accounting for dimension-dependent identities. The result is shown to be consistent with minimal coupling to gravity.

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.

Referee Report

0 major / 2 minor

Summary. The manuscript derives parity-even transverse-traceless metric-like cubic vertices for massless bosonic higher-spin fields in AdS₃. It begins with the known two- and three-derivative vertices in flat 3D space and extends them to AdS₃ by imposing invariance under higher-spin gauge transformations while using dimension-dependent identities to cancel extraneous terms. The construction is verified to reproduce minimal gravitational coupling in the spin-2 sector.

Significance. If the explicit vertex expressions and gauge-variation cancellations hold, the work supplies concrete metric-like cubic interactions for higher-spin fields in AdS₃. The approach of deforming flat-space vertices solely via gauge invariance and 3D identities yields parameter-free results that are directly consistent with gravity, providing a useful building block for higher-spin theories in three dimensions.

minor comments (2)
  1. The abstract states that the result is 'shown to be consistent with minimal coupling to gravity' but does not indicate the section containing the explicit check; a cross-reference would aid the reader.
  2. For completeness and reproducibility, the manuscript should include the explicit flat-space vertex expressions (or a clear reference to them) alongside the AdS₃ deformations.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for the careful reading and positive assessment of our work on metric-like cubic vertices for massless bosonic higher-spin fields in AdS₃. The recommendation for minor revision is noted. No specific major comments were provided in the report.

Circularity Check

0 steps flagged

No significant circularity; derivation is self-contained from external inputs

full rationale

The paper explicitly starts from externally known flat-space two- and three-derivative vertices and deforms them to AdS3 solely by imposing gauge invariance plus 3D dimension-dependent identities. No equation reduces a claimed prediction or result to a fitted parameter, self-defined quantity, or load-bearing self-citation chain. The spin-2 consistency check is an explicit verification against minimal gravity coupling rather than a tautology. This is the normal case of an independent construction.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Abstract supplies insufficient detail to list concrete free parameters, axioms, or invented entities; only standard domain assumptions of higher-spin gauge theory are implied.

axioms (2)
  • domain assumption Gauge invariance must be preserved when extending the vertices to curved space.
    Abstract states that gauge invariance is imposed to construct the AdS3 extensions.
  • domain assumption Dimension-dependent identities in three dimensions can be used to simplify or cancel terms.
    Abstract explicitly mentions accounting for dimension-dependent identities.

pith-pipeline@v0.9.1-grok · 5588 in / 1228 out tokens · 36165 ms · 2026-06-30T01:44:11.368462+00:00 · methodology

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Reference graph

Works this paper leans on

109 extracted references · 82 canonical work pages · 66 internal anchors

  1. [1]

    Stringy gravity, interacting tensionless strings and massless higher spins

    B. Sundborg,Stringy gravity, interacting tensionless strings and massless higher spins,Nucl. Phys. B Proc. Suppl.102(2001) 113 [hep-th/0103247]

    work page internal anchor Pith review Pith/arXiv arXiv 2001

  2. [2]

    On the Tensionless Limit of Bosonic Strings, Infinite Symmetries and Higher Spins

    G. Bonelli,On the tensionless limit of bosonic strings, infinite symmetries and higher spins,Nucl. Phys. B669(2003) 159 [hep-th/0305155]

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  3. [3]

    On higher spins and the tensionless limit of String Theory

    A. Sagnotti and M. Tsulaia,On higher spins and the tensionless limit of string theory,Nucl. Phys. B682(2004) 83 [hep-th/0311257]

    work page internal anchor Pith review Pith/arXiv arXiv 2004

  4. [4]

    Vasiliev,Consistent equations for interacting gauge fields of all spins in (3+1)-dimensions,Phys

    M.A. Vasiliev,Consistent equations for interacting gauge fields of all spins in (3+1)-dimensions,Phys. Lett. B243(1990) 378

    1990

  5. [5]

    Higher-Spin Gauge Theories in Four, Three and Two Dimensions

    M.A. Vasiliev,Higher spin gauge theories in four-dimensions, three-dimensions, and two-dimensions,Int. J. Mod. Phys. D5(1996) 763 [hep-th/9611024]

    work page internal anchor Pith review Pith/arXiv arXiv 1996

  6. [6]

    Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)dS_d$

    M.A. Vasiliev,Nonlinear equations for symmetric massless higher spin fields in (A)dS(d),Phys. Lett. B567(2003) 139 [hep-th/0304049]

    work page internal anchor Pith review Pith/arXiv arXiv 2003

  7. [7]

    Bekaert, S

    X. Bekaert, S. Cnockaert, C. Iazeolla and M.A. Vasiliev,Nonlinear higher spin theories in various dimensions, in1st Solvay Workshop on Higher Spin Gauge Theories, pp. 132–197, 2004 [hep-th/0503128]

    work page arXiv 2004

  8. [8]

    Elements of Vasiliev theory

    V.E. Didenko and E.D. Skvortsov,Elements of Vasiliev Theory,Lect. Notes Phys. 1028(2024) 269 [1401.2975]

    work page internal anchor Pith review Pith/arXiv arXiv 2024

  9. [9]

    The Large N Limit of Superconformal Field Theories and Supergravity

    J.M. Maldacena,The LargeNlimit of superconformal field theories and supergravity,Adv. Theor. Math. Phys.2(1998) 231 [hep-th/9711200]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  10. [10]

    Gauge Theory Correlators from Non-Critical String Theory

    S.S. Gubser, I.R. Klebanov and A.M. Polyakov,Gauge theory correlators from noncritical string theory,Phys. Lett. B428(1998) 105 [hep-th/9802109]

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  11. [11]

    Anti De Sitter Space And Holography

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

    work page internal anchor Pith review Pith/arXiv arXiv 1998

  12. [12]

    AdS Dual of the Critical O(N) Vector Model

    I.R. Klebanov and A.M. Polyakov,AdS dual of the critical O(N) vector model, Phys. Lett. B550(2002) 213 [hep-th/0210114]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  13. [13]

    Conformal Higher Spin Currents in Any Dimension and AdS/CFT Correspondence

    S.E. Konstein, M.A. Vasiliev and V.N. Zaikin,Conformal higher spin currents in any dimension and AdS / CFT correspondence,JHEP12(2000) 018 [hep-th/0010239]

    work page internal anchor Pith review Pith/arXiv arXiv 2000

  14. [14]

    Massless Higher Spins and Holography

    E. Sezgin and P. Sundell,Massless higher spins and holography,Nucl. Phys. B644 (2002) 303 [hep-th/0205131]

    work page internal anchor Pith review Pith/arXiv arXiv 2002

  15. [15]

    The masses of gauge fields in higher spin field theory on the bulk of $AdS_{4}$

    R. Manvelyan and W. Ruhl,The Masses of gauge fields in higher spin field theory on the bulk of AdS(4),Phys. Lett. B613(2005) 197 [hep-th/0412252]. – 33 –

    work page internal anchor Pith review Pith/arXiv arXiv 2005

  16. [16]

    Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization

    R. Manvelyan, K. Mkrtchyan and W. Ruhl,Ultraviolet behaviour of higher spin gauge field propagators and one loop mass renormalization,Nucl. Phys. B803 (2008) 405 [0804.1211]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  17. [17]

    On Higher Spin Gauge Theory and the Critical O(N) Model

    S. Giombi and X. Yin,On Higher Spin Gauge Theory and the Critical O(N) Model, Phys. Rev. D85(2012) 086005 [1105.4011]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  18. [18]

    Constraining conformal field theories with a higher spin symmetry

    J. Maldacena and A. Zhiboedov,Constraining Conformal Field Theories with A Higher Spin Symmetry,J. Phys. A46(2013) 214011 [1112.1016]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  19. [19]

    The Higher Spin/Vector Model Duality

    S. Giombi and X. Yin,The Higher Spin/Vector Model Duality,J. Phys. A46 (2013) 214003 [1208.4036]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  20. [20]

    AdS Description of Induced Higher-Spin Gauge Theory

    S. Giombi, I.R. Klebanov, S.S. Pufu, B.R. Safdi and G. Tarnopolsky,AdS Description of Induced Higher-Spin Gauge Theory,JHEP10(2013) 016 [1306.5242]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  21. [21]

    One Loop Tests of Higher Spin AdS/CFT

    S. Giombi and I.R. Klebanov,One Loop Tests of Higher Spin AdS/CFT,JHEP12 (2013) 068 [1308.2337]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  22. [22]

    Higher Spin AdS$_{d+1}$/CFT$_d$ at One Loop

    S. Giombi, I.R. Klebanov and B.R. Safdi,Higher Spin AdS d+1/CFTd at One Loop, Phys. Rev. D89(2014) 084004 [1401.0825]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  23. [23]

    Partition Functions and Casimir Energies in Higher Spin AdS_{d+1}/CFT_d

    S. Giombi, I.R. Klebanov and A.A. Tseytlin,Partition Functions and Casimir Energies in Higher Spin AdS d+1/CFTd,Phys. Rev. D90(2014) 024048 [1402.5396]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  24. [24]

    Spinning AdS Propagators

    M.S. Costa, V. Gon¸ calves and J. Penedones,Spinning AdS Propagators,JHEP09 (2014) 064 [1404.5625]

    work page internal anchor Pith review Pith/arXiv arXiv 2014

  25. [25]

    Canonical Formulation of $O(N)$ Vector/Higher Spin Correspondence

    R. de Mello Koch, A. Jevicki, J.P. Rodrigues and J. Yoon,Canonical Formulation ofO(N)Vector/Higher Spin Correspondence,J. Phys. A48(2015) 105403 [1408.4800]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  26. [26]

    Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange

    X. Bekaert, J. Erdmenger, D. Ponomarev and C. Sleight,Towards holographic higher-spin interactions: Four-point functions and higher-spin exchange,JHEP03 (2015) 170 [1412.0016]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  27. [27]

    On higher spin partition functions

    M. Beccaria and A.A. Tseytlin,On higher spin partition functions,J. Phys. A48 (2015) 275401 [1503.08143]

    work page internal anchor Pith review Pith/arXiv arXiv 2015

  28. [28]

    Iterating free-field AdS/CFT: higher spin partition function relations

    M. Beccaria and A.A. Tseytlin,Iterating free-field AdS/CFT: higher spin partition function relations,J. Phys. A49(2016) 295401 [1602.00948]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  29. [29]

    Higher-spin Interactions from CFT: The Complete Cubic Couplings

    C. Sleight and M. Taronna,Higher Spin Interactions from Conformal Field Theory: The Complete Cubic Couplings,Phys. Rev. Lett.116(2016) 181602 [1603.00022]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  30. [30]

    J.-B. Bae, E. Joung and S. Lal,One-loop test of free SU(N ) adjoint model holography,JHEP04(2016) 061 [1603.05387]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  31. [31]

    J.-B. Bae, E. Joung and S. Lal,On the Holography of Free Yang-Mills,JHEP10 (2016) 074 [1607.07651]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  32. [32]

    Exceptional F(4) Higher-Spin Theory in AdS(6) at One-Loop and other Tests of Duality

    M. G¨ unaydin, E.D. Skvortsov and T. Tran,ExceptionalF(4)higher-spin theory in AdS6 at one-loop and other tests of duality,JHEP11(2016) 168 [1608.07582]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  33. [33]

    The ABC of Higher-Spin AdS/CFT

    S. Giombi, I.R. Klebanov and Z.M. Tan,The ABC of Higher-Spin AdS/CFT, Universe4(2018) 18 [1608.07611]. – 34 –

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  34. [34]

    On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models

    S. Giombi, V. Gurucharan, V. Kirilin, S. Prakash and E. Skvortsov,On the Higher-Spin Spectrum in Large N Chern-Simons Vector Models,JHEP01(2017) 058 [1610.08472]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  35. [35]

    J.-B. Bae, E. Joung and S. Lal,One-loop free energy of tensionless type IIB string in AdS5×S5,JHEP06(2017) 155 [1701.01507]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  36. [36]

    Test of the local form of higher-spin equations via AdS/CFT

    V.E. Didenko and M.A. Vasiliev,Test of the local form of higher-spin equations via AdS / CFT,Phys. Lett. B775(2017) 352 [1705.03440]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  37. [37]

    J.-B. Bae, E. Joung and S. Lal,Exploring Free Matrix CFT Holographies at One-Loop,Universe3(2017) 77 [1708.04644]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  38. [38]

    Character Integral Representation of Zeta function in AdS$_{d+1}$: I. Derivation of the general formula

    T. Basile, E. Joung, S. Lal and W. Li,Character Integral Representation of Zeta function in AdS d+1: I. Derivation of the general formula,JHEP10(2018) 091 [1805.05646]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  39. [39]

    Fredenhagen, O

    S. Fredenhagen, O. Kr¨ uger and K. Mkrtchyan,Constraints for Three-Dimensional Higher-Spin Interactions and Conformal Correlators,Phys. Rev. D100(2019) 066019 [1812.10462]

    work page arXiv 2019

  40. [40]

    Aharony, S.M

    O. Aharony, S.M. Chester and E.Y. Urbach,A Derivation of AdS/CFT for Vector Models,JHEP03(2021) 208 [2011.06328]

    work page arXiv 2021

  41. [41]

    Neiman,New Diagrammatic Framework for Higher-Spin Gravity,Phys

    Y. Neiman,New Diagrammatic Framework for Higher-Spin Gravity,Phys. Rev. Lett.130(2023) 171601 [2209.02185]

    work page arXiv 2023

  42. [42]

    TASI Lectures on the Higher Spin - CFT duality

    S. Giombi,Higher Spin — CFT Duality, inTheoretical Advanced Study Institute in Elementary Particle Physics: New Frontiers in Fields and Strings, pp. 137–214, 2017, DOI [1607.02967]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  43. [43]

    Bekaert, N

    X. Bekaert, N. Boulanger, A. Campoleoni, M. Chiodaroli, D. Francia, M. Grigoriev et al.,Snowmass White Paper: Higher Spin Gravity and Higher Spin Symmetry, 2205.01567

    work page arXiv

  44. [44]

    An AdS_3 Dual for Minimal Model CFTs

    M.R. Gaberdiel and R. Gopakumar,An AdS 3 Dual for Minimal Model CFTs, Phys. Rev. D83(2011) 066007 [1011.2986]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  45. [45]

    Minimal Model Holography

    M.R. Gaberdiel and R. Gopakumar,Minimal Model Holography,J. Phys. A46 (2013) 214002 [1207.6697]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  46. [46]

    Brown and M

    J.D. Brown and M. Henneaux,Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity,Commun. Math. Phys.104(1986) 207

    1986

  47. [47]

    Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields

    A. Campoleoni, S. Fredenhagen, S. Pfenninger and S. Theisen,Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields,JHEP11 (2010) 007 [1008.4744]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  48. [48]

    Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity

    M. Henneaux and S.-J. Rey,NonlinearW inf inity as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity,JHEP12(2010) 007 [1008.4579]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  49. [49]

    Asymptotic W-symmetries in three-dimensional higher-spin gauge theories

    A. Campoleoni, S. Fredenhagen and S. Pfenninger,Asymptotic W-symmetries in three-dimensional higher-spin gauge theories,JHEP09(2011) 113 [1107.0290]

    work page internal anchor Pith review Pith/arXiv arXiv 2011

  50. [50]

    Belavin, A.M

    A.A. Belavin, A.M. Polyakov and A.B. Zamolodchikov,Infinite Conformal – 35 – Symmetry in Two-Dimensional Quantum Field Theory,Nucl. Phys. B241(1984) 333

    1984

  51. [51]

    Fronsdal,Massless Fields with Integer Spin,Phys

    C. Fronsdal,Massless Fields with Integer Spin,Phys. Rev. D18(1978) 3624

    1978

  52. [52]

    Fang and C

    J. Fang and C. Fronsdal,Massless Fields with Half Integral Spin,Phys. Rev. D18 (1978) 3630

    1978

  53. [53]

    The Very Basics of Higher-Spin Theory

    P. Kessel,The Very Basics of Higher-Spin Theory,PoSModave2016(2017) 001 [1702.03694]

    work page internal anchor Pith review Pith/arXiv arXiv 2017

  54. [54]

    Ponomarev,Basic Introduction to Higher-Spin Theories,Int

    D. Ponomarev,Basic Introduction to Higher-Spin Theories,Int. J. Theor. Phys.62 (2023) 146 [2206.15385]

    work page arXiv 2023

  55. [55]

    Pekar,Introduction to higher-spin theories,PoSModave2022(2023) 004

    S. Pekar,Introduction to higher-spin theories,PoSModave2022(2023) 004

    2023

  56. [56]

    How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples

    X. Bekaert, N. Boulanger and P. Sundell,How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples,Rev. Mod. Phys.84 (2012) 987 [1007.0435]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  57. [57]

    Berends, G.J.H

    F.A. Berends, G.J.H. Burgers and H. van Dam,On the Theoretical Problems in Constructing Interactions Involving Higher Spin Massless Particles,Nucl. Phys. B 260(1985) 295

    1985

  58. [58]

    Fredenhagen, O

    S. Fredenhagen, O. Kr¨ uger and K. Mkrtchyan,Vertex-Constraints in 3D Higher Spin Theories,Phys. Rev. Lett.123(2019) 131601 [1905.00093]

    work page arXiv 2019

  59. [59]

    Campoleoni and S

    A. Campoleoni and S. Fredenhagen,Higher-Spin Gauge Theories in Three Spacetime Dimensions,Lect. Notes Phys.1028(2024) 121 [2403.16567]

    work page arXiv 2024

  60. [60]

    Weinberg,Photons and Gravitons inS-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,Phys

    S. Weinberg,Photons and Gravitons inS-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,Phys. Rev.135 (1964) B1049

    1964

  61. [61]

    Aragone and S

    C. Aragone and S. Deser,Consistency Problems of Hypergravity,Phys. Lett. B86 (1979) 161

    1979

  62. [62]

    Aragone and S

    C. Aragone and S. Deser,Hypersymmetry inD= 3of Coupled Gravity Massless Spin 5/2 System,Class. Quant. Grav.1(1984) L9

    1984

  63. [63]

    Cubic interactions of massless bosonic fields in three dimensions

    K. Mkrtchyan,Cubic interactions of massless bosonic fields in three dimensions, Phys. Rev. Lett.120(2018) 221601 [1712.10003]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  64. [64]

    Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices

    P. Kessel and K. Mkrtchyan,Cubic interactions of massless bosonic fields in three dimensions II: Parity-odd and Chern-Simons vertices,Phys. Rev. D97(2018) 106021 [1803.02737]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  65. [65]

    Cubic Vertices for Symmetric Higher-Spin Gauge Fields in $(A)dS_d$

    M.A. Vasiliev,Cubic Vertices for Symmetric Higher-Spin Gauge Fields in(A)dS d, Nucl. Phys. B862(2012) 341 [1108.5921]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  66. [66]

    Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space

    N. Boulanger, D. Ponomarev and E.D. Skvortsov,Non-abelian cubic vertices for higher-spin fields in anti-de Sitter space,JHEP05(2013) 008 [1211.6979]

    work page internal anchor Pith review Pith/arXiv arXiv 2013

  67. [67]

    Bengtsson, I

    A.K.H. Bengtsson, I. Bengtsson and L. Brink,Cubic Interaction Terms for Arbitrary Spin,Nucl. Phys. B227(1983) 31

    1983

  68. [68]

    Cubic interaction vertices for massive and massless higher spin fields

    R.R. Metsaev,Cubic interaction vertices of massive and massless higher spin fields, Nucl. Phys. B759(2006) 147 [hep-th/0512342]. – 36 –

    work page internal anchor Pith review Pith/arXiv arXiv 2006

  69. [69]

    Cubic interaction vertices for fermionic and bosonic arbitrary spin fields

    R.R. Metsaev,Cubic interaction vertices for fermionic and bosonic arbitrary spin fields,Nucl. Phys. B859(2012) 13 [0712.3526]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  70. [70]

    General trilinear interaction for arbitrary even higher spin gauge fields

    R. Manvelyan, K. Mkrtchyan and W. Ruhl,General trilinear interaction for arbitrary even higher spin gauge fields,Nucl. Phys. B836(2010) 204 [1003.2877]

    work page internal anchor Pith review Pith/arXiv arXiv 2010

  71. [71]

    On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory

    N. Boulanger, S. Leclercq and P. Sundell,On The Uniqueness of Minimal Coupling in Higher-Spin Gauge Theory,JHEP08(2008) 056 [0805.2764]

    work page internal anchor Pith review Pith/arXiv arXiv 2008

  72. [72]

    Bengtsson, I

    A.K.H. Bengtsson, I. Bengtsson and N. Linden,Interacting Higher Spin Gauge Fields on the Light Front,Class. Quant. Grav.4(1987) 1333

    1987

  73. [73]

    Metsaev,Poincare invariant dynamics of massless higher spins: Fourth order analysis on mass shell,Mod

    R.R. Metsaev,Poincare invariant dynamics of massless higher spins: Fourth order analysis on mass shell,Mod. Phys. Lett. A6(1991) 359

    1991

  74. [74]

    Light-cone gauge cubic interaction vertices for massless fields in AdS(4)

    R.R. Metsaev,Light-cone gauge cubic interaction vertices for massless fields in AdS(4),Nucl. Phys. B936(2018) 320 [1807.07542]

    work page internal anchor Pith review Pith/arXiv arXiv 2018

  75. [75]

    Consistency Conditions on the S-Matrix of Massless Particles

    P. Benincasa and F. Cachazo,Consistency Conditions on the S-Matrix of Massless Particles,0705.4305

    work page internal anchor Pith review Pith/arXiv arXiv

  76. [76]

    Exploring the S-Matrix of Massless Particles

    P. Benincasa and E. Conde,Exploring the S-Matrix of Massless Particles,Phys. Rev. D86(2012) 025007 [1108.3078]

    work page internal anchor Pith review Pith/arXiv arXiv 2012

  77. [77]

    Lorentz Constraints on Massive Three-Point Amplitudes

    E. Conde and A. Marzolla,Lorentz Constraints on Massive Three-Point Amplitudes,JHEP09(2016) 041 [1601.08113]

    work page internal anchor Pith review Pith/arXiv arXiv 2016

  78. [78]

    Conde, E

    E. Conde, E. Joung and K. Mkrtchyan,Spinor-helicity three-point amplitudes from local cubic interactions,Journal of High Energy Physics2016(2016)

    2016

  79. [79]

    Khabarov and Y.M

    M.V. Khabarov and Y.M. Zinoviev,Massless higher spin cubic vertices in flat four dimensional space,JHEP08(2020) 112 [2005.09851]

    work page arXiv 2020

  80. [80]

    Achucarro and P.K

    A. Achucarro and P.K. Townsend,A Chern-Simons Action for Three-Dimensional anti-De Sitter Supergravity Theories,Phys. Lett. B180(1986) 89

    1986

Showing first 80 references.