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The logarithmic Cardy case: Boundary states and annuli
Karlstad University, Faculty of Health, Science and Technology (starting 2013), Department of Engineering and Physics (from 2013).ORCID iD: 0000-0003-4081-6234
University of Alberta, Edmonton, Canada.
Universität Wien, Austria.
Universität Hamburg, Germany.
2018 (English)In: Nuclear Physics B, ISSN 0550-3213, E-ISSN 1873-1562, Vol. 930, p. 287-327Article in journal (Refereed) Published
Abstract [en]

We present a model-independent study of boundary states in the Cardy case that covers all conformal field theories for which the representation category of the chiral algebra is a – not necessarily semisimple – modular tensor category. This class, which we call finite CFTs, includes all rational theories, but goes much beyond these, and in particular comprises many logarithmic conformal field theories. We show that the following two postulates for a Cardy case are compatible beyond rational CFT and lead to a universal description of boundary states that realizes a standard mathematical setup: First, for bulk fields, the pairing of left and right movers is given by (a coend involving) charge conjugation; and second, the boundary conditions are given by the objects of the category of chiral data. For rational theories our proposal reproduces the familiar result for the boundary states of the Cardy case. Further, with the help of sewing we compute annulus amplitudes. Our results show in particular that these possess an interpretation as partition functions, a constraint that for generic finite CFTs is much more restrictive than for rational ones.

Place, publisher, year, edition, pages
Elsevier, 2018. Vol. 930, p. 287-327
National Category
Mathematics Physical Sciences
Research subject
Physics
Identifiers
URN: urn:nbn:se:kau:diva-66940DOI: 10.1016/j.nuclphysb.2018.03.005ISI: 000435647100012Scopus ID: 2-s2.0-85044165224OAI: oai:DiVA.org:kau-66940DiVA, id: diva2:1195831
Available from: 2018-04-06 Created: 2018-04-06 Last updated: 2018-09-05Bibliographically approved

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Fuchs, Jürgen

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Citation style
  • apa
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