Solvable RSOS models based on the dilute BWM algebra

Details Solvable RSOS models based on the dilute BWM algebra Solvable RSOS models based on the dilute BWM algebra

1994-07-08

arxiv.org/abs/hep-th/9407046v1

Nucl.Phys.B435:482-504,1995

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, uuencoded compressed PostScript file, Amsterdam preprint ITFA-94-21

Scientific paper

10.1016/0550-3213(94)00405-4

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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