Extended TQFTs From Non-Semisimple Modular Categories

Understand

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.