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Article Dans Une Revue Indiana University Mathematics Journal Année : 2021

Extended TQFTs from non-semisimple modular categories

Résumé

We construct 3-dimensional once-Extended Topological Quantum Field Theories (ETQFTs for short) out of (possibly non-semisimple) modular categories, and we explicitly identify linear categories and functors in their image. The circle category of an ETQFT produced by our construction is equivalent to the full subcategory of projective objects of the underlying modular category. In particular, it need not be semisimple.

Dates et versions

hal-04230765 , version 1 (06-10-2023)

Identifiants

Citer

Marco de Renzi. Extended TQFTs from non-semisimple modular categories. Indiana University Mathematics Journal, 2021, 70 (5), pp.1769-1811. ⟨10.1512/iumj.2021.70.9364⟩. ⟨hal-04230765⟩
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