#
TFT Construction of RCFT correlators

V: Proof of modular invariance and factorisation

##
Jens Fjelstad, Jurgen Fuchs, Ingo Runkel and Christoph Schweigert

The correlators of two-dimensional rational conformal field theories
that are obtained in the TFT construction of Fuchs, Runkel and
Schweigert 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.

2000 MSC:
81T40,18D10,18D35,81T45

*Theory and Applications of Categories,*
Vol. 16, 2006,
No. 16, pp 342-433.

http://www.tac.mta.ca/tac/volumes/16/16/16-16.ps

http://www.tac.mta.ca/tac/volumes/16/16/16-16.pdf

ftp://ftp.tac.mta.ca/pub/tac/html/volumes/16/16/16-16.ps

TAC Home