Near-Extremal Limits of Warped CFTs

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.

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

References in corpus (3)

• Warped AdS_3 Black Holes
• Semi-classical central charge in topologically massive gravity
• Warped Conformal Field Theory as Lower Spin Gravity

Cited by in corpus (5)

• Near-Extremal Limits of Warped Black Holes
• Thermodynamic law and holography dual of accelerating and rotating black hole in Nariai limit
• Universal sectors of two-dimensional Carrollian CFTs
• Modular matrices of 2d Carrollian and warped CFTs
• Warped CFT duals of the Plebański-Demiański family of solutions