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Factorized domain wall partition functions in trigonometric vertex models

O Foda, M Wheeler and M Zuparic

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We obtain factorized domain wall partition functions for two sets of trigonometric vertex models: (1) the N-state Deguchi–Akutsu models, for N \in \{2, 3, 4\} (and conjecture the result for all N≥5), and (2) the sl(r+1|s+1) Perk–Schultz models, for \{r, s \in \mathbb {N}\} , where (given the symmetries of these models) the result is independent of {r,s}.


Keywords

solvable lattice models

integrable spin chains (vertex models)

 

E-print Number: 0709.4540

Cited: by |

Refers: to

PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

02.10.De Algebraic structures and number theory

MSC

17B69 Vertex operators; vertex operator algebras and related structures

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B23 Exactly solvable models; Bethe ansatz

Subjects

Mathematical physics

Statistical physics and nonlinear systems

Dates

Issue 10 (October 2007)

Received 28 September 2007, accepted for publication 9 October 2007

Published 26 October 2007



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