Universal sectors of two-dimensional Carrollian CFTs

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.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-11-10
DOI
https://doi.org/10.1007/jhep11(2025)039
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
0.00

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article

Universal sectors of two-dimensional Carrollian CFTs

Arjun Bagchi, Joan Simón, Daniel Grumiller, Max Riegler et al.
Journal of High Energy Physics
Black Holes and Theoretical Physics
article

Universal sectors of two-dimensional Carrollian CFTs

Arjun Bagchi, Joan Simón, Daniel Grumiller, Max Riegler, Stéphane Detournay, Ankit Aggarwal
article en

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.

Journal of High Energy PhysicsVol. 2025(11)
Université Libre de Bruxelles (BE), Okinawa Institute of Science and Technology Graduate University (JP), TU Wien (AT), Quantum Technology Sciences (United States) (US), Maxwell Institute for Mathematical Sciences (GB), International Solvay Institutes (BE), Schrodinger (United States) (US), Indian Institute of Technology Kanpur (IN), University of Edinburgh (GB)
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 Engineering Research Board
Openalex Percentile: Top 85%
Black Holes and Theoretical Physics
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