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Three-coloring statistical model with domain wall boundary conditions: Trigonometric limit

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Abstract

We consider a nontrivial trigonometric limit of the three-coloring statistical model with the domain wall boundary conditions. In this limit, we solve the previously constructed functional equations and find a new determinant representation for the partial partition functions.

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Authors and Affiliations

  1. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia

    A. V. Razumov & Yu. G. Stroganov

Authors
  1. A. V. Razumov
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  2. Yu. G. Stroganov
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Correspondence to Yu. G. Stroganov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 161, No. 2, pp. 154–163, November, 2009.

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Razumov, A.V., Stroganov, Y.G. Three-coloring statistical model with domain wall boundary conditions: Trigonometric limit. Theor Math Phys 161, 1451–1459 (2009). https://doi.org/10.1007/s11232-009-0132-1

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  • DOI: https://doi.org/10.1007/s11232-009-0132-1

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