The Q-operator and Functional Relations of the Eight-vertex Model at Root-of-unity Η = for Odd N
نویسنده
چکیده
Following Baxter's method of producing Q 72-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter η = 2mK N with odd N where Q 72 does not exist. We use this new Q-operator to study the functional relations in the Fabricius-McCoy comparison between the root-of-unity eight-vertex model and the superintegrable N-state chiral Potts model. By the compatibility of the constructed Q-operator with the structure of Baxter's eight-vertex (solid-on-solid) SOS model, we verify the set of functional relations of the root-of-unity eight-vertex model using the explicit form of the Q-operator and fusion weights of SOS model.
منابع مشابه
The Q - operator and Functional Relations of the Eight - vertex Model at Root - of - unity η = 2 mK N for odd
Following Baxter's method of producing Q 72-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter η = 2mK N with odd N where Q 72 does not exist. We use this new Q-operator to study the functional relations in the Fabricius-McCoy comparison between the root-of-unity eight-vertex model and the superintegrable N-state chiral Potts model. By the c...
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Following Baxter's method of producing Q 72-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the parameter η = 2mK N with odd N where Q 72 does not exist. We use this new Q-operator to study the functional relations through the Fabricius-McCoy comparison between the root-of-unity eight-vertex model and the superintegrable N-state chiral Potts model. By the compa...
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Following Baxter's method of producing Q 72-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the parameter η = 2mK N with odd N where Q 72 does not exist. We use this new Q-operator to study the functional relations through the Fabricius-McCoy comparison between the root-of-unity eight-vertex model and the superintegrable N-state chiral Potts model. By the compa...
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