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26 April 2024
 
  » arxiv » hep-th/9407046

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Solvable RSOS models based on the dilute BWM algebra
Uwe Grimm ; S. Ole Warnaar ;
Date 8 Jul 1994
Journal Nucl.Phys. B435 (1995) 482-504
Subject hep-th
AbstractIn this paper we present representations of the recently introduced dilute Birman-Wenzl-Murakami algebra. These representations, labelled by the level-$l$ B$^{(1)}_n$, C$^{(1)}_n$ and D$^{(1)}_n$ affine Lie algebras, are Baxterized to yield solutions to the Yang-Baxter equation. The thus obtained critical solvable models are RSOS counterparts of the, respectively, D$^{(2)}_{n+1}$, $A^{(2)}_{2n}$ and B$^{(1)}_n$ $R$-matrices of Bazhanov and Jimbo. For the D$^{(2)}_{n+1}$ and B$^{(1)}_n$ algebras the RSOS models are new. An elliptic extension which solves the Yang-Baxter equation is given for all three series of dilute RSOS models.
Source arXiv, hep-th/9407046
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