A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
Canonical reference
Entropy of three-dimensional asymptotically flat cosmological solutions
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abstract
The thermodynamics of three-dimensional asymptotically flat cosmological solutions that play the same role than the BTZ black holes in the anti-de Sitter case is derived and explained from holographic properties of flat space. It is shown to coincide with the flat-space limit of the thermodynamics of the inner black hole horizon on the one hand and the semi-classical approximation to the gravitational partition function associated to the entropy of the outer horizon on the other. This leads to the insight that it is the Massieu function that is universal in the sense that it can be computed at either horizon.
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Derives heavy-light conformal blocks in 2d C/G CFTs and computes excited-state entanglement entropy via replica trick, finding thermal form that reproduces holographic EE and establishes dictionary between boundary weights and bulk mass/angular momentum.
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.
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.
A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
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.
Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.
A review summarizing Carrollian symmetries, CCFT constructions, and applications in AFS holography, Carroll hydrodynamics, and condensed matter phenomena such as fractons and flat bands.
citing papers explorer
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Kinetic Theory of Carroll Hydrodynamics
A microscopic derivation of Carrollian fluid equations from a statistical mechanics of interacting instantonic branes, plus initial elements of Carrollian thermodynamics.
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Conformal Blocks in 2d Carrollian/Galilean CFTs and Excited State Entanglement Entropy
Derives heavy-light conformal blocks in 2d C/G CFTs and computes excited-state entanglement entropy via replica trick, finding thermal form that reproduces holographic EE and establishes dictionary between boundary weights and bulk mass/angular momentum.
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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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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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Holographic realization of higher-spin Carrollian free fields
A bulk construction in asymptotically flat higher-spin gravity realizes Carrollian free fields and Miura transformations via generalized boundary conditions and screening charges.
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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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More on Bulk Local State Reconstruction in Flat/Carr CFT
Bulk local states are built in flat holography via induced representations, with a dual basis resolving 3D bra-ket scaling issues and a tilde basis enabling explicit constructions in higher dimensions that recover the massive propagator.
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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.