2000 character limit reached
Extended TQFTs From Non-Semisimple Modular Categories (2103.04724v2)
Published 8 Mar 2021 in math.GT
Abstract: 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.