Shi-shyr Roan 2007 J. Phys. A: Math. Theor. 40 11019 doi:10.1088/1751-8113/40/36/004
The Q-operator and functional relations of the eight-vertex model at root-of-unity 
for odd N
Shi-shyr Roan
Show affiliationsFollowing Baxter's method of producing Q72-operator, we construct the Q-operator of the root-of-unity eight-vertex model for the crossing parameter 
with odd N where Q72 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 the SOS model.
- PACS
- MSC
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82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs
- Subjects
- Dates
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Issue 36 (7 September 2007)
Received 1 March 2007, in final form 7 July 2007
Published 21 August 2007
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The Q-operator and functional relations of the eight-vertex model at root-of-unity for odd N
Shi-shyr Roan 2007 J. Phys. A: Math. Theor. 40 11019
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