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TFT construction of RCFT correlators V: Proof of modular invariance and factorisation
Institutionen för Fysik, Karlstads Universitet, Karlstad, Sweden.ORCID iD: 0000-0003-0372-5093
Institutionen för Fysik, Karlstads Universitet, Karlstad, Sweden.
Max-Planck-Institut für Gravitationsphysik, Albert-Einstein-Institut, Golm, Germany.
Fachbereich Mathematik, Universität Hamburg Schwerpunkt Algebra und Zahlentheorie, Zentrum für Mathematische Physik, Hamburg, Germany.
2006 (English)In: Theory and Applications of Categories, ISSN 1201-561X, E-ISSN 1201-561X, Vol. 16, no 16, p. 342-433Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Sackville, N.B.: R. Rosebrugh , 2006. Vol. 16, no 16, p. 342-433
National Category
Subatomic Physics
Identifiers
URN: urn:nbn:se:oru:diva-57716Scopus ID: 2-s2.0-33750720971OAI: oai:DiVA.org:oru-57716DiVA, id: diva2:1096435
Available from: 2014-11-25 Created: 2017-05-17 Last updated: 2017-10-18Bibliographically approved

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