Stress-Energy in Liouville Conformal Field Theory

Show simple item record

dc.contributor University of Helsinki, Department of Mathematics and Statistics en
dc.contributor University of Helsinki, Department of Mathematics and Statistics en
dc.contributor.author Kupiainen, Antti
dc.contributor.author Oikarinen, Joona
dc.date.accessioned 2020-08-25T13:05:01Z
dc.date.available 2020-08-25T13:05:01Z
dc.date.issued 2020-09
dc.identifier.citation Kupiainen , A & Oikarinen , J 2020 , ' Stress-Energy in Liouville Conformal Field Theory ' , Journal of Statistical Physics , vol. 180 , no. 1-6 , pp. 1128-1166 . https://doi.org/10.1007/s10955-020-02601-4 en
dc.identifier.issn 0022-4715
dc.identifier.other PURE: 142927915
dc.identifier.other PURE UUID: d858310b-29f1-46a5-9fc5-e588017f3eb4
dc.identifier.other WOS: 000545845300001
dc.identifier.other ORCID: /0000-0002-0395-9888/work/79520514
dc.identifier.uri http://hdl.handle.net/10138/318559
dc.description.abstract We construct the stress-energy tensor correlation functions in probabilistic Liouville conformal field theory (LCFT) on the two-dimensional sphere S-2 by studying the variation of the LCFT correlation functions with respect to a smooth Riemannian metric on S-2. In particular we derive conformal Ward identities for these correlation functions. This forms the basis for the construction of a representation of the Virasoro algebra on the canonical Hilbert space of the LCFT. In Kupiainen et al. (Commun Math Phys 371:1005-1069, 2019) the conformal Ward identities were derived for one and two stress-energy tensor insertions using a different definition of the stress-energy tensor and Gaussian integration by parts. By defining the stress-energy correlation functions as functional derivatives of the LCFT correlation functions and using the smoothness of the LCFT correlation functions proven in Oikarinen (Ann Henri Poincare 20(7):2377-2406, 2019) allows us to control an arbitrary number of stress-energy tensor insertions needed for representation theory. en
dc.format.extent 39
dc.language.iso eng
dc.relation.ispartof Journal of Statistical Physics
dc.rights en
dc.subject Liouville model en
dc.subject Conformal field theory en
dc.subject Ward identities en
dc.subject Stress-energy tensor en
dc.subject GAUSSIAN MULTIPLICATIVE CHAOS en
dc.subject QUANTUM en
dc.subject 111 Mathematics en
dc.title Stress-Energy in Liouville Conformal Field Theory en
dc.type Article
dc.description.version Peer reviewed
dc.identifier.doi https://doi.org/10.1007/s10955-020-02601-4
dc.type.uri info:eu-repo/semantics/other
dc.type.uri info:eu-repo/semantics/publishedVersion
dc.contributor.pbl
dc.contributor.pbl
dc.contributor.pbl
dc.contributor.pbl

Files in this item

Total number of downloads: Loading...

Files Size Format View
Kupiainen_Oikar ... nergyInLiouvilleConfor.pdf 496.3Kb PDF View/Open

This item appears in the following Collection(s)

Show simple item record