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

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

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

Author(s): Vernier, Eric; Jacobsen, Jesper Lykke; Salas Martínez, Jesús

Publisher: IOP Publishing

Issued date: 2016-04-29

Citation: 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

ISSN: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/49/17/174004

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Sponsor: 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.

Project: Gobierno de España. FIS2012-34379
Gobierno de España. FIS2014-57387-C3-3-P

Keywords: Chromatic polynomial , Integrability , Conformal field theory , Antiferromagnetic potts model partition-function zeros , Packed loop model , Square-lattice , Critical-behavior , Transfer-matrices , 2 Dimensions , Honeycomb lattice , Hamiltonian-walks

URI: http://hdl.handle.net/10016/32209

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 res [+]

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