Bulk-to-boundary correlators for spin-s operators in Poincaré-invariant massless theories are linear superpositions of ISO(2)-fixed tensor structures mapped to non-crossing double-line diagrams that are tensor products of loop diagrams, extrapolating to type Ib multiplets in CCFT generated by Wigner
Holography in the Flat Space Limit
11 Pith papers cite this work. Polarity classification is still indexing.
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abstract
Matrix theory and the AdS/CFT correspondence provide nonperturbative holographic formulations of string theory. In both cases the finite N theories can be thought of as infrared regulated versions of flat space string theory in which removing the cutoff is equivalent to letting N go to infinity. In this paper we consider the nature of this limit. In both cases the holographic mapping becomes completely nonlocal. In matrix theory this corresponds to the growth of D0-brane bound states with N. For the AdS/CFT correspondence there is a similar delocalization of the holographic image of a system as N increases. In this case the limiting theory seems to require a number of degrees of freedom comparable to large N matrix quantum mechanics.
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Instanton condensation in the matrix model for the BPS index reveals a new instability and dominant phase for small black holes, connected to partial deconfinement.
A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
Derives universal first-order ODEs governing the RG flow of boundary operator data (scaling dimensions, OPE and BOE coefficients) for 2D QFTs on hyperbolic space.
Tropological sigma models on 4D targets are defined on filtered manifolds with nilpotent Engel algebra symmetries and conjectured to correspond to filtered Gromov-Witten invariants.
Authors construct canonical and path-integral quantizations for QFT in Klein space using extra modes, deriving correlation functions that match Minkowski space via analytical continuation.
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.
A 3d sourced conformal Carrollian field theory is proposed to holographically capture 4d flat gravity kinematics, with Ward identities matching 2d celestial CFT after relating operators.
Constructs bulk scalar field representations in Lorentzian AdS4 from boundary primaries via time-ordered propagators and derives their flat-space limits to plane-wave or Carrollian bases.
Generalizes flow ODEs for QFT data in AdS3/AdS4, capturing operator merger-annihilation and level repulsion, with efficiency gains from crossing equations and Padé approximants.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
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Worldsheet Formalism for Decoupling Limits in String Theory
Develops worldsheet sigma model for fundamental strings in critical type IIA limit showing nodal singularities and derives T-duality web unifying decoupling limits including ambitwistor and Carrollian strings.