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 (95)

• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• Soft Hair on Black Holes
• Aspects of the BMS/CFT correspondence
• Anti-de Sitter Fragmentation
• Logarithmic Corrections to Black Hole Entropy from the Cardy Formula
• Universal Spectrum of 2d Conformal Field Theory in the Large c Limit
• Fermionic Localization of the Schwarzian Theory
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• Conformal Carroll groups and BMS symmetry
• A New Cosmological Scenario in String Theory
• Supertranslations and Superrotations at the Black Hole Horizon
• The Statistical Mechanics of the (2+1)-Dimensional Black Hole
• Holography of 3d Flat Cosmological Horizons
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Logarithmic Corrections to Schwarzschild and Other Non-extremal Black Hole Entropy in Different Dimensions
• Carrollian Perspective on Celestial Holography
• Flat Holography: Aspects of the dual field theory
• Gauging the Carroll Algebra and Ultra-Relativistic Gravity
• Entropy of three-dimensional asymptotically flat cosmological solutions
• Aspects of Black Hole Quantum Mechanics and Thermodynamics in 2+1 Dimensions
• Carrollian Physics at the Black Hole Horizon
• Entanglement entropy in Galilean conformal field theories and flat holography
• Warped Conformal Field Theory
• Flat holography and Carrollian fluids
• Carroll Structures, Null Geometry and Conformal Isometries
• Flat-Space Chiral Gravity
• Bridging Carrollian and Celestial Holography
• Carroll versus Galilei Gravity
• Soft Heisenberg hair on black holes in three dimensions
• Spacetime structure near generic horizons and soft hair
• A theory of reparameterizations for AdS${}_3$ gravity
• Three-dimensional Bondi-Metzner-Sachs invariant two-dimensional field theories as the flat limit of Liouville theory
• Field Theories with Conformal Carrollian Symmetry
• Tensionless Strings and Galilean Conformal Algebra
• Carroll Expansion of General Relativity
• Tensionless Strings from Worldsheet Symmetries
• A universal Schwarzian sector in two-dimensional conformal field theories
• Conformal Symmetry Breaking and Thermodynamics of Near-Extremal Black Holes
• Holographic Reconstruction of 3D Flat Space-Time
• Soft hairy horizons in three spacetime dimensions
• Boundary conditions for General Relativity on AdS${}_3$ and the KdV hierarchy
• AdS Witten Diagrams to Carrollian Correlators
• Magic Fermions: Carroll and Flat Bands
• Carrollian conservation laws and Ricci-flat gravity
• Field theories with anisotropic scaling in 2D, solitons and the microscopic entropy of asymptotically Lifshitz black holes
• BMS Modules in Three Dimensions
• Stress tensor correlators in three-dimensional gravity
• 3D Flat Holography: Entropy and Logarithmic Corrections
• Conformal Carroll Scalars with Boosts
• Cosmic evolution from phase transition of 3-dimensional flat space
• Carrollian Approach to $1+3$D Flat Holography
• Dynamics of Carroll Strings
• On Higher-dimensional Carrollian and Galilean Conformal Field Theories
• One-loop partition function of three-dimensional flat gravity
• Magnetic Carrollian gravity from the Carroll algebra
• Limits of JT gravity
• A Tale of Three. Tensionless strings and vacuum structure
• Carroll/fracton particles and their correspondence
• A BMS-invariant free scalar model
• Carrollian hydrodynamics from symmetries
• Newton-Hooke/Carrollian expansions of (A)dS and Chern-Simons gravity
• Characters of the BMS Group in Three Dimensions
• Carrollian Origins of Bjorken Flow
• Carroll black holes
• Geometric actions and flat space holography
• Non-linear black hole dynamics and Carrollian fluids
• A Rindler Road to Carrollian Worldsheets
• Carrollian fluids and spontaneous breaking of boost symmetry
• Flat Space Limit of (Higher-Spin) Cardy Formula
• Carroll fermions in two dimensions
• Warped Schwarzian theory
• On Rigidity of 3d Asymptotic Symmetry Algebras
• Carrollian Origin of Spacetime Subsystem Symmetry
• Hydro & Thermo Dynamics at Causal Boundaries, Examples in 3d Gravity
• 2d Galilean Field Theories with Anisotropic Scaling
• A BMS-invariant free fermion model
• Heavy-ion collisions, Gubser flow, and Carroll hydrodynamics
• Quantizing Carrollian field theories
• BMS Characters and Modular Invariance
• Carrollian Motion in Magnetized Black Hole Horizons
• Horizon Strings as 3d Black Hole Microstates
• Log corrections to entropy of three dimensional black holes with soft hair
• Rindler/Contracted-CFT Correspondence
• Lifshitz Scaling, Microstate Counting from Number Theory and Black Hole Entropy
• A Cardy formula for holographic hyperscaling-violating theories
• Near-Extremal Limits of Warped CFTs
• BMS Modular Diaries: Torus one-point function
• Migrating Carrollian particles on magnetized black hole horizons
• Mixmasters in Wonderland: Chaotic dynamics from Carroll limits of gravity
• Near-Extremal Limits of Warped Black Holes
• Unitarity in the Presence of Closed Timelike Curves
• Anisotropic conformal Carroll field theories and their gravity duals
• Modular matrices of 2d Carrollian and warped CFTs