Geometric construction of modular functors from Conformal Field Theory
Differential Geometry
2008-11-26 v2 Quantum Algebra
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].
Cite
@article{arxiv.math/0306235,
title = {Geometric construction of modular functors from Conformal Field Theory},
author = {Jorgen Ellegaard Andersen and Kenji Ueno},
journal= {arXiv preprint arXiv:math/0306235},
year = {2008}
}
Comments
Paper considerably expanded so as to make it self contained