Warped Weyl fermion partition functions
Alejandra Castro, Diego M. Hofman, G\'abor S\'arosi
TL;DR
This paper investigates the spectral and modular properties of warped conformal field theories, focusing on a massive Weyl fermion in 2D, and introduces new partition functions with unique features not found in standard 2D CFTs.
Contribution
It derives general spectral and modular properties of WCFTs and constructs novel partition functions for the Ramond sector that lack counterparts in traditional 2D conformal field theories.
Findings
Derived spectral and modular properties of WCFTs
Constructed new Ramond sector partition functions
Revisited thermodynamics of WCFTs in different ensembles
Abstract
Warped conformal field theories (WCFTs) are a novel class of non-relativistic theories. A simple, yet non-trivial, example of such theory is a massive Weyl fermion in -dimensions, which we study in detail. We derive general properties of the spectrum and modular properties of partition functions of WCFTs. The periodic (Ramond) sector of this fermionic system is non-trivial, and we build two novel partition functions for this sector which have no counterpart in a CFT. The thermodynamical properties of WCFTs are revisited in the canonical and micro-canonical ensemble.
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