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arXiv · 1704.05956

Extended TQFT arising from enriched multi-fusion categories

Hao Zheng
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Abstract

We define a symmetric monoidal (4,3)-category with duals whose objects are certain enriched multi-fusion categories. For every modular tensor category $\mathcal{C}$, there is a self enriched multi-fusion category $\mathfrak{C}$ giving rise to an object of this symmetric monoidal (4,3)-category. We conjecture that the extended 3D TQFT given by the fully dualizable object $\mathfrak{C}$ extends the 1-2-3-dimensional Reshetikhin-Turaev TQFT associated to the modular tensor category $\mathcal{C}$ down to dimension zero.

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Hao Zheng. 2017-04-19. Extended TQFT arising from enriched multi-fusion categories. https://arxiv.org/abs/1704.05956

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