Modular matrices of 2d Carrollian and warped CFTs

TL;DR

This paper derives the modular S and T matrices for 2D Carrollian and warped CFTs, verifying their algebraic properties to understand their symmetry structures.

Contribution

It provides the first explicit derivation of modular matrices for these non-standard conformal field theories, expanding the understanding of their symmetry properties.

Findings

Derived explicit modular S and T matrices

Verified matrices satisfy key algebraic properties

Enhanced understanding of symmetry structures in Carrollian and warped CFTs

Abstract

We derive the modular S and T matrices that generate the modular transformations on the characters of two dimensional Carrollian and warped CFT algebras. We verify that they satisfy some of their defining properties.