It is known that for any full rational conformal field theory, the correlation functions that are obtained by the TFT construction satisfy all locality, modular invariance and factorization conditions, and that there is a small set of fundamental correlators to which all others are related via factorization - provided that the world sheets considered do not contain any non-trivial defect lines. In this paper we generalize both results to oriented world sheets with an arbitrary network of topological defect lines.
Funding Agencies:
ESF network "Interactions of Low-Dimensional Topology and Geometry with Mathematical Physics (ITGP)"
China Science Postdoc 020400383
Priority Academic Program Development of Jiangsu Higher Education Institutions (PAPD)
NSFC 10775067
Chinese Central Government
VR 621-2009-3993