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Solvable RSOS models based on the dilute BWM algebra

Uwe Grimm, S. Ole Warnaar

hep-tharXiv:hep-th/9407046

Abstract

In 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.

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