Universal sectors of two-dimensional Carrollian CFTs

Abstract

We revisit modular invariance in two-dimensional Carrollian conformal field theories from a geometric perspective. Focusing on the characters of the induced and highest-weight representations of the theory, we show that there are regions of parameter space where the vacuum character dominates in the dual channel. We use this property to zoom into different subsectors of the Carrollian theory. One of them is reminiscent of the Schwarzian sector of a relativistic CFT2 and has a flat space holographic interpretation as O-plane orbifold. It exists only for the highest-weight representation. We prove that for all sectors with vacuum dominance in the dual channel, the specific heat is negative, concurrent with the holographic interpretation of the negative specific heat of asymptotically flat spacetimes with horizons.

45pp+acknowledgments

References in corpus (39)

• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• The BMS/GCA correspondence
• Conformal Carroll groups and BMS symmetry
• Flat Holography: Aspects of the dual field theory
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Entanglement entropy in Galilean conformal field theories and flat holography
• Flat-Space Chiral Gravity
• Bridging Carrollian and Celestial Holography
• Field Theories with Conformal Carrollian Symmetry
• AdS Witten Diagrams to Carrollian Correlators
• Magic Fermions: Carroll and Flat Bands
• Conformal Carroll Scalars with Boosts
• Carrollian Approach to $1+3$D Flat Holography
• One-loop partition function of three-dimensional flat gravity
• Magnetic Carrollian gravity from the Carroll algebra
• Carroll/fracton particles and their correspondence
• Carrollian hydrodynamics from symmetries
• Characters of the BMS Group in Three Dimensions
• Carrollian Origins of Bjorken Flow
• Carroll black holes
• Non-linear black hole dynamics and Carrollian fluids
• Carrollian fluids and spontaneous breaking of boost symmetry
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Carroll fermions in two dimensions
• Carrollian Origin of Spacetime Subsystem Symmetry
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• A BMS-invariant free fermion model
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Quantizing Carrollian field theories
• Horizon Strings as 3d Black Hole Microstates
• Carrollian Motion in Magnetized Black Hole Horizons
• Log corrections to entropy of three dimensional black holes with soft hair
• Rindler/Contracted-CFT Correspondence
• Near-Extremal Limits of Warped CFTs
• Migrating Carrollian particles on magnetized black hole horizons
• Near-Extremal Limits of Warped Black Holes
• Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
• Anisotropic conformal Carroll field theories and their gravity duals
• Modular matrices of 2d Carrollian and warped CFTs