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AdS Witten Diagrams to Carrollian Correlators
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AdS Witten Diagrams to Carrollian Correlators
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Carrollian Conformal Field Theories (CFTs) have been proposed as co-dimension one holographic duals to asymptotically flat spacetimes as opposed to Celestial CFTs which are co-dimension two. In this paper, drawing inspiration from Celestial holography, we show by a suitable generalisation of the flat space limit of AdS that keeps track of the previously disregarded null direction, one can reproduce Carrollian CFT correlation functions from AdS Witten diagrams. In particular, considering Witten diagrams in AdS4, we reproduce two and three-point correlation functions for three dimensional Carrollian CFTs in the so-called delta-function branch. Along the way, we construct non-trivial Carrollian three-point functions in the delta-branch by considering a collinear limit. We also obtain a generalised anti-podal matching condition that now depends on the retarded time direction.
Forward citations
Cited by 25 Pith papers
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Missing Descendants in the Carrollian Conformal Family
Including the missing K0 descendant chain completes Carrollian conformal representations and produces C2>0 sectors and two-point correlators fixed only up to functions of Carrollian invariants.
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The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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Carrollian fermion actions are obtained from relativistic Dirac theory via c-expansion and connected to light-cone dynamics through co-dimension one Carroll subalgebras in the Poincaré algebra.
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A Carrollian theory on null infinity reproduces all MHV and NMHV Yang-Mills tree amplitudes, with a new explicit NMHV expression.
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A path integral with asymptotic boundary conditions produces the gravitational S-matrix and derives soft graviton theorems from extended BMS symmetry Ward identities.
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The paper classifies families of closed bosonic string solutions in the near-horizon non-extremal BTZ spacetime and identifies novel features via string-Carroll expansion.
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Radiation in Fluid/Gravity and the Flat Limit
Establishes a holographic link between bulk gravitational radiation and dissipative corrections plus entropy production in boundary fluids, then constructs Carrollian analogues and celestial observables in the flat limit.
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QFT in Klein space
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.
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Operator Product Expansion in Carrollian CFT
Constructs Carrollian OPEs that govern short-distance behavior, extends representation theory for composites, and classifies 2-, 3-, and 4-point correlators/amplitudes under Carrollian symmetry.
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Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data
Liénard–Wiechert fields and flat-space antipodal matching arise by expressing a static Coulomb seed in geodesic-centered coordinates, with exact bulk antipodal covariance in AdS reducing to the usual matching at null fringes.
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Li\'enard--Wiechert fields in AdS and flat-space antipodal matching from geodesic-centered Coulombic data
The Coulombic Liénard–Wiechert field in AdS and flat space is obtained by recentering the static Coulomb seed on the source geodesic, and antipodal matching emerges as the flat-space limit of an exact bulk antipodal c...
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Observing Massive Scattering from Null Infinity
Late-time Bondi mass aspect at future null infinity acts as a detector for massive radiation, with its in-in correlations relating to weighted sums of scattering cross sections.
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Massive fields in 3D Minkowski space and boundary correlators
The work identifies a broader class of 2D Carrollian CFT correlators that encode massive 3D Minkowski S-matrices and constructs the corresponding bulk-to-boundary propagator.
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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.
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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.
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Topics in Celestial holography: A bottom-up perspective
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The Carrollian Kaleidoscope
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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Topics in Celestial holography: A bottom-up perspective
A review of symmetries, celestial CFT, twistor theory interplay, and AdS/CFT connections in the bottom-up search for a celestial dual to flat-space quantum gravity.
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