Q-colourings of the triangular lattice: exact exponents and conformal field theory

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dc.contributor.author Vernier, Eric
dc.contributor.author Jacobsen, Jesper Lykke
dc.contributor.author Salas Martínez, Jesús
dc.date.accessioned 2021-03-23T15:39:06Z
dc.date.available 2021-03-23T15:39:06Z
dc.date.issued 2016-04-29
dc.identifier.bibliographicCitation Vernier, E., Jacobsen, J. L. and Salas, J. Q-colourings of the triangular lattice: exact exponents and conformal field theory. Journal of Physics A: Mathematical and Theoretical, 49 (17), 174004
dc.identifier.issn 1751-8113
dc.identifier.uri http://hdl.handle.net/10016/32209
dc.description.abstract The corresponding conformal field theory is identified and the exact critical exponents are derived. We discuss their implications for the phase diagram of the antiferromagnetic triangular-lattice Potts model at non-zero temperature. Finally, we relate our results to recent observations in the field of spin-one anyonic chains.
dc.description.sponsorship The research of JLJ was supported in part by the Agence Nationale de la Recherche (grant ANR-10-BLAN-0414: DIME), the Institut Universitaire de France, and the European Research Council (through the advanced grant NuQFT). The research of JS was supported in part by Spanish MINECO grants FIS2012-34379 and FIS2014-57387-C3-3-P.
dc.language.iso eng
dc.publisher IOP Publishing
dc.rights © 2016 IOP Publishing Ltd.
dc.subject.other Chromatic polynomial
dc.subject.other Integrability
dc.subject.other Conformal field theory
dc.subject.other Antiferromagnetic potts model partition-function zeros
dc.subject.other Packed loop model
dc.subject.other Square-lattice
dc.subject.other Critical-behavior
dc.subject.other Transfer-matrices
dc.subject.other 2 Dimensions
dc.subject.other Honeycomb lattice
dc.subject.other Hamiltonian-walks
dc.title Q-colourings of the triangular lattice: exact exponents and conformal field theory
dc.type article
dc.subject.eciencia Matemáticas
dc.identifier.doi https://doi.org/10.1088/1751-8113/49/17/174004
dc.rights.accessRights openAccess
dc.relation.projectID Gobierno de España. FIS2012-34379
dc.relation.projectID Gobierno de España. FIS2014-57387-C3-3-P
dc.type.version acceptedVersion
dc.identifier.publicationissue 17
dc.identifier.publicationtitle Journal of Physics A-Mathematical and Theoretical
dc.identifier.publicationvolume 49
dc.identifier.uxxi AR/0000017922
dc.contributor.funder Ministerio de Economía y Competitividad (España)
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