Geometric construction of modular functors from Conformal Field Theory
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].
- Publication:
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arXiv Mathematics e-prints
- Pub Date:
- June 2003
- DOI:
- 10.48550/arXiv.math/0306235
- arXiv:
- arXiv:math/0306235
- Bibcode:
- 2003math......6235E
- Keywords:
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- Mathematics - Differential Geometry;
- Mathematics - Quantum Algebra
- E-Print:
- Paper considerably expanded so as to make it self contained