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Article overview
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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 | 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. | Source: | arXiv, hep-th/9407046 | Services: | Forum | Review | PDF | Favorites |
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