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arXiv · 1310.5174

On the definition and K-theory realization of a modular functor

Igor Kriz·Luhang Lai
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Abstract

We present a definition of a (super)-modular functor which includes certain interesting cases that previous definitions do not allow. We also introduce a notion of topological twisting of a modular functor, and construct formally a realization by a 2-dimensional topological field theory valued in twisted K-modules. We discuss, among other things, the N=1-supersymmetric minimal models from the point of view of this formalism.

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Igor Kriz, Luhang Lai. 2018-01-07. On the definition and K-theory realization of a modular functor. https://doi.org/10.1142/s0129055x18500083

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