2023/09/25 by Iordanis Romaidis, Romaidis, Iordanis, Ingo Runkel +1 · 1 citation
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #Geometric Topology (math.GT) #High Energy Physics - Theory (hep-th) #Homotopy and Cohomology in Algebraic Topology #Noncommutative and Quantum Gravity Theories #Quantum Algebra (math.QA)
paper · pdf · doi:10.48550/arxiv.2309.14000
openalex publication_date 2023/09/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.