Near-Extremal Limits of Warped CFTs
High Energy Physics - Theory
2023-08-02 v3
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.
Keywords
Cite
@article{arxiv.2211.03770,
title = {Near-Extremal Limits of Warped CFTs},
author = {Ankit Aggarwal and Alejandra Castro and Stéphane Detournay and Beatrix Mühlmann},
journal= {arXiv preprint arXiv:2211.03770},
year = {2023}
}
Comments
18+8 pages. v2: Minor corrections in (3.14) and (3.17). v3: minor typos corrected, arXiv identifier of companion paper added, to appear in Scipost