Warped Weyl fermion partition functions

Understand

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 $(1+1)$-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$_2$.