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

Vernier, Eric; Jacobsen, Jesper Lykke; Salas Martínez, Jesús

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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)