CFT correlators and mapping class group averages
High Energy Physics - Theory
2023-09-26 v1 Geometric Topology
Quantum Algebra
Abstract
Mapping class group averages appear in the study of 3D gravity partition functions. In this paper, we work with 3D topological field theories to establish a bulk-boundary correspondence between such averages and correlators of 2D rational CFTs whose chiral mapping class group representations are irreducible and satisfy a finiteness property. We show that Ising-type modular fusion categories satisfy these properties on surfaces with or without field insertions, extending results in [Jian et al., JHEP 10 (2020) 129], and we comment on the absence of invertible global symmetries in the examples we consider.
Cite
@article{arxiv.2309.14000,
title = {CFT correlators and mapping class group averages},
author = {Iordanis Romaidis and Ingo Runkel},
journal= {arXiv preprint arXiv:2309.14000},
year = {2023}
}
Comments
45 pages