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arXiv · 2309.14000

CFT correlators and mapping class group averages

Iordanis Romaidis·Ingo Runkel
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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.

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Iordanis Romaidis, Ingo Runkel. 2023-09-25. CFT correlators and mapping class group averages. https://arxiv.org/abs/2309.14000

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