Near-extremal limits of warped CFTs

Author:

Aggarwal Ankit123,Castro Alejandra4,Detournay Stéphane1,Mühlmann Beatrix5

Affiliation:

1. Université Libre de Bruxelles

2. Delta Institute for Theoretical Physics

3. University of Amsterdam

4. University of Cambridge

5. McGill University

Abstract

Warped conformal field theories (WCFTs) are two-dimensional non-relativistic systems, with a chiral scaling and shift symmetry. We present a detailed derivation of the near-extremal limit for their torus partition function. This limit requires large values of the central charge, and is only consistent for non-unitary WCFT. We compare our analysis with previous studies of WCFT and its relation to a one-dimensional warped-Schwarzian theory. We discuss different ensembles of warped CFTs and contrast our results with analogous limits in two-dimensional CFTs.

Funder

Fonds De La Recherche Scientifique - FNRS

Natural Sciences and Engineering Research Council

Nederlandse Organisatie voor Wetenschappelijk Onderzoek

Science and Technology Facilities Council

Simons Foundation

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

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