4.2 Article

Q-Operators for Higher Spin Eight Vertex Models with an Even Number of Sites

Journal

LETTERS IN MATHEMATICAL PHYSICS
Volume 106, Issue 3, Pages 319-340

Publisher

SPRINGER
DOI: 10.1007/s11005-015-0813-7

Keywords

Q-operator; higher spin eight vertex model; Sklyanin algebra

Funding

  1. Academic fund Program at the National Research University Higher School of Economics (HSE) [15-01-102]
  2. Government of the Russian Federation for the implementation of the Global Competitiveness Program

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We construct the Q-operator for generalised eight vertex models associated to higher spin representations of the Sklyanin algebra, following Baxter's 1973 paper. As an application, we prove the sum rule for the Bethe roots.

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