Year: 2025
Type: article
Abstract: A bstract 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 CFT 2 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.
Source: Journal of High Energy Physics
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
Funders: Arthritis National Research Foundation, Durham University, Department of Science and Technology, Ministry of Science and Technology, India, Austrian Science Fund, Fonds De La Recherche Scientifique - FNRS, Cardiac Children's Foundation Taiwan, Nederlandse Organisatie voor Wetenschappelijk Onderzoek, Okinawa Institute of Science and Technology Graduate University, Technische Universität Wien, Science and Technology Facilities Council, Science and Engineering Research Board
Awards: G1845263934, G4002564602, G402356165, G451986476, Quantum energy conditions in two dimensions, Particle Theory at the Higgs Centre, G5276922154, G6069901671, Generalized SYK/JT correspondences, G6660692907, Particle Theory at the Higgs Centre, Carrollian gravity and black holes, G7967914132, G8425129486, G8590477180, G8990269100, G961310333
OpenAlex ID: W4416108974