Near-extremal limits of warped CFTs

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.

Automated summary

We provide a detailed derivation of the near-extremal limit for the torus partition function of warped conformal field theories (WCFTs). This limit requires large values of the central charge and is consistent only for non-unitary WCFTs. By comparing our analysis with previous studies, we explore the relation between WCFTs and one-dimensional warped-Schwarzian theories. We also discuss various ensembles of warped CFTs and compare our results with similar limits in two-dimensional CFTs.