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Fusion rules for the logarithmic N = 1 superconformal minimal models II: Including the Ramond sector

Canagasabey, Michael; Ridout, David

Description

The Virasoro logarithmic minimal models were intensively studied by several groups over the last ten years with much attention paid to the fusion rules and the structures of the indecomposable representations that fusion generates. The analogous study of the fusion rules of the N=1 superconformal logarithmic minimal models was initiated in [1] as a continuum counterpart to the lattice explorations of [2] . These works restricted fusion considerations to Neveu–Schwarz representations. Here, this...[Show more]

dc.contributor.authorCanagasabey, Michael
dc.contributor.authorRidout, David
dc.date.accessioned2016-11-08T02:58:04Z
dc.date.available2016-11-08T02:58:04Z
dc.identifier14385
dc.identifier.issn0550-3213
dc.identifier.urihttp://hdl.handle.net/1885/110176
dc.description.abstractThe Virasoro logarithmic minimal models were intensively studied by several groups over the last ten years with much attention paid to the fusion rules and the structures of the indecomposable representations that fusion generates. The analogous study of the fusion rules of the N=1 superconformal logarithmic minimal models was initiated in [1] as a continuum counterpart to the lattice explorations of [2] . These works restricted fusion considerations to Neveu–Schwarz representations. Here, this is extended to include the Ramond sector. Technical advances that make this possible include a fermionic Verlinde formula applicable to logarithmic conformal field theories and a twisted version of the fusion algorithm of Nahm and Gaberdiel–Kausch. The results include the first construction and detailed analysis of logarithmic structures in the Ramond sector.
dc.publisherElsevier
dc.rights© 2016 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/
dc.sourceNuclear Physics B
dc.source.urihttp://repo.scoap3.org/record/14385/files/main.pdf
dc.titleFusion rules for the logarithmic N = 1 superconformal minimal models II: Including the Ramond sector
dc.typeJournal article
dc.date.issued2016-03-15
local.publisher.urlhttp://www.elsevier.com/
local.type.statusPublished Version
local.contributor.affiliationCanagasabey, Michael, Mathematical Sciences Institute, Australian National University, Acton, ACT, 2601, Australia
local.contributor.affiliationRidout, David, Department of Theoretical Physics, Research School of Physics and Engineering, Mathematical Sciences Institute, Australian National University, Acton, ACT, 2601, Australia
local.bibliographicCitation.startpage132
local.bibliographicCitation.lastpage187
local.identifier.doi10.1016/j.nuclphysb.2016.02.010
dc.date.updated2016-11-07T03:12:13Z
dcterms.accessRightsOpen Access
CollectionsANU Research Publications

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