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Geometric construction of modular functors from Conformal Field Theory

Jorgen Ellegaard Andersen·Kenji Ueno
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Abstract

This is the second paper in a series of papers aimed at providing a geometric construction of modular functors and topological quantum field theories from conformal field theory building on the constructions in [TUY] and [KNTY]. We give a geometric construct of a modular functor for any simple Lie-algebra and any level by twisting the constructions in [TUY] by a certain fractional power of the abelian theory first considered in [KNTY] and further studied in our first paper [AU1].

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BibTeXRIS

Jorgen Ellegaard Andersen, Kenji Ueno. 2006-11-08. Geometric construction of modular functors from Conformal Field Theory. https://doi.org/10.1142/s0218216507005233

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