TFT construction of RCFT correlators V: Proof of modular invariance and factorisation

Details TFT construction of RCFT correlators V: Proof of modular invariance and factorisation TFT construction of RCFT correlators V: Proof of modular invariance and factorisation

2005-03-24

arxiv.org/abs/hep-th/0503194v2

Theor.Appl.Categor.16:342-433,2006

Physics

High Energy Physics

High Energy Physics - Theory

91 pages, some figures; v2: background information added, as new appendix A

Scientific paper

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.

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