TFT construction of RCFT correlators V: Proof of modular invariance and factorisation
High Energy Physics - Theory
2008-11-26 v2 Quantum Algebra
Abstract
The correlators of two-dimensional rational conformal field theories that are obtained in the TFT construction of [FRSI,FRSII,FRSIV] are shown to be invariant under the action of the relative modular group and to obey bulk and boundary factorisation constraints. We present results both for conformal field theories defined on oriented surfaces and for theories defined on unoriented surfaces. In the latter case, in particular the so-called cross cap constraint is included.
Keywords
Cite
@article{arxiv.hep-th/0503194,
title = {TFT construction of RCFT correlators V: Proof of modular invariance and factorisation},
author = {Jens Fjelstad and Jurgen Fuchs and Ingo Runkel and Christoph Schweigert},
journal= {arXiv preprint arXiv:hep-th/0503194},
year = {2008}
}
Comments
91 pages, some figures; v2: background information added, as new appendix A