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

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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… Click to show full 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.

Keywords: definition theory; modular functor; theory realization; functor

Journal Title: Reviews in Mathematical Physics
Year Published: 2017

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