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

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URI: https://hdl.handle.net/10016/32209
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/49/17/174004
UXXI: AR/0000017922
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Q-colourings_JOPA_2016_ps.pdf (1.03 MB)
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2016-04-29
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IOP Publishing
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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.
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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
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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
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