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Quantum group invariant integrable n-state models with periodic boundary conditions

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Abstract

Using the methods of topological quantum field theory we construct aU q [sl(n)] invariant integrable transfer matrix for the case ofq being a root of unity. It corresponds to a 2-dimensional vertex model on a torus with topological interaction w.r.t. its interior. By means of the nested Bethe ansatz method we analyse conformai properties and discuss the representational content of the Bethe ansatz solutions.

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Supported by DFG, Sonderforschungsbereich 288 ‘Differentialgeometrie und Quantenphysik’.

This talk was based on a collaboration with M. Karowski.

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Zapletal, A. Quantum group invariant integrable n-state models with periodic boundary conditions. Czech J Phys 44, 1117–1124 (1994). https://doi.org/10.1007/BF01690464

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