A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
10 Pith papers cite this work. Polarity classification is still indexing.
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abstract
The asymptotic group of symmetries at null infinity of flat spacetimes in three and four dimensions is the infinite dimensional Bondi-Metzner-Sachs (BMS) group. This has recently been shown to be isomorphic to non-relativistic conformal algebras in one lower dimension, the Galilean Conformal Algebra (GCA) in 2d and a closely related non-relativistic algebra in 3d [1]. We provide a better understanding of this surprising connection by providing a spacetime interpretation in terms of a novel contraction. The 2d GCA, obtained from a linear combination of two copies of the Virasoro algebra, is generically non-unitary. The unitary subsector previously constructed had trivial correlation functions. We consider a representation obtained from a different linear combination of the Virasoros, which is relevant to the relation with the BMS algebra in three dimensions. This is realised by a new space-time contraction of the parent algebra. We show that this representation has a unitary sub-sector with interesting correlation functions. We discuss implications for the BMS/GCA correspondence and show that the flat space limit actually induces precisely this contraction on the boundary conformal field theory. We also discuss aspects of asymptotic symmetries and the consequences of this contraction in higher dimensions.
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hep-th 10representative citing papers
L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
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.
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
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.
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.
The c to zero limit of ABJM theory produces a Carrollian superconformal theory with extended BMS4 symmetry using Carrollian Dirac matrices.
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.
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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The Energy-Momentum-News Complex near Future Null Infinity
A Carroll-covariant energy-momentum-news complex at future null infinity yields Ward identities that generalise the Bondi loss equations, with an anomalous Carroll boost.
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$L_\infty$-algebraic extensions of non-Lorentzian kinematical Lie algebras, gravities, and brane couplings
L_infinity extensions of Galilean, Newton-Hooke and static algebras produce infinite towers of p-form fields that couple to torsionful non-Lorentzian gravities and yield WZW terms for (p-1)-branes via doubled coordinates.
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
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Strings near BTZ black holes: A Carrollian Chronicle
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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Timelike Liouville theory and AdS$_3$ gravity at finite cutoff
Proposes that AdS3 gravity at finite cutoff is dual to a CFT2 coupled to timelike Liouville theory deformed by a marginal operator, with checks via semiclassical partition functions and EOM matching.
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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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Carrollian Perspective on Celestial Holography
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.
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Carrollian ABJM: Fermions and Supersymmetry
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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Carroll fermions, expansions and the lightcone
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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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.