Voir la notice de l'article provenant de la source Theory and Applications of Categories website
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.
@article{TAC_2006_16_a15,
author = {Jens Fjelstad and Jurgen Fuchs and Ingo Runkel and Christoph Schweigert},
title = {TFT {Construction} of {RCFT} correlators {
V:} {Proof} of modular invariance and factorisation},
journal = {Theory and applications of categories},
pages = {342--433},
publisher = {mathdoc},
volume = {16},
year = {2006},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TAC_2006_16_a15/}
}
TY - JOUR AU - Jens Fjelstad AU - Jurgen Fuchs AU - Ingo Runkel AU - Christoph Schweigert TI - TFT Construction of RCFT correlators V: Proof of modular invariance and factorisation JO - Theory and applications of categories PY - 2006 SP - 342 EP - 433 VL - 16 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TAC_2006_16_a15/ LA - en ID - TAC_2006_16_a15 ER -
%0 Journal Article %A Jens Fjelstad %A Jurgen Fuchs %A Ingo Runkel %A Christoph Schweigert %T TFT Construction of RCFT correlators V: Proof of modular invariance and factorisation %J Theory and applications of categories %D 2006 %P 342-433 %V 16 %I mathdoc %U http://geodesic.mathdoc.fr/item/TAC_2006_16_a15/ %G en %F TAC_2006_16_a15
Jens Fjelstad; Jurgen Fuchs; Ingo Runkel; Christoph Schweigert. TFT Construction of RCFT correlators V: Proof of modular invariance and factorisation. Theory and applications of categories, Tome 16 (2006), pp. 342-433. http://geodesic.mathdoc.fr/item/TAC_2006_16_a15/