Functional Equations and Fusion Matrices for the Eight Vertex Model | Zendy

K. Fabricius | Zendy; Barry M. McCoy | Zendy

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Functional Equations and Fusion Matrices for the Eight Vertex Model

Author(s) -

K. Fabricius,

Barry M. McCoy

Publication year - 2004

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.786

H-Index - 39

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475496

Subject(s) - mathematics , vertex (graph theory) , fusion , vertex model , analogy , fusion rules , order (exchange) , pure mathematics , algebra over a field , mathematical physics , combinatorics , image fusion , philosophy , linguistics , finance , economics , graph

We derive sets of functional equations for the eight vertex model by exploiting an analogy with the functional equations of the chiral Potts model. From these equations we show that the fusion matrices have special reductions at certain roots of unity. We explicitly exhibit these reductions for the 3, 4 and 5 order fusion matrices and compare our formulation with the algebra of Sklyanin.

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