Work

On the (Fib ⊠ Fib) ⋊ S2 fusion category

Year: 2026

Type: article

Abstract: A bstract There might exist non-rational Virasoro CFTs in two dimensions with a (Fib ⊠ Fib)⋊ S 2 categorical symmetry. We calculate the necessary ingredients for a modular conformal bootstrap analysis of these theories. After reviewing the basics of fusion categories, we present the irreducible representations, the lasso maps that intertwine between different Hilbert spaces, and finally the 22-by-22 modular S matrix. We highlight the peculiarities introduced by the non-invertible nature of the symmetry. This paper is written in a pedagogical manner and can therefore serve as an accessible entry point into the literature.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep06(2026)174

Authors: Maddalena Ferragatta, Balt C. van Rees

Institution: Institut Polytechnique de Paris

Language: English

Topic: Algebraic structures and combinatorial models

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: European Commission, Abdus Salam International Centre for Theoretical Physics, Fundação de Amparo à Pesquisa do Estado de São Paulo, ICTP South American Institute for Fundamental Research

Awards: G2065082359, G4699990819, G6438247056