Near-Extremal Limits of Warped CFTs
arXiv:2211.03770 · doi:10.21468/SciPostPhys.15.2.056
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.
arXiv comment18+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
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