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A possible combinatorial point for the XYZ spin chain

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Abstract

We formulate and discuss several conjectures related to the ground state vectors of odd-length XYZ spin chains with periodic boundary conditions and a special choice of the Hamiltonian parameters. In particular, we argue for the validity of a sum rule for the vector components that in a sense describes the degree of antiferromagneticity of the chain.

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Authors and Affiliations

  1. Institute for High Energy Physics, Protvino, Moscow Oblast, Russia

    A. V. Razumov & Yu. G. Stroganov

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  1. A. V. Razumov
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  2. Yu. G. Stroganov
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Correspondence to A. V. Razumov.

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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 164, No. 2, pp. 179–195, August, 2010.

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Razumov, A.V., Stroganov, Y.G. A possible combinatorial point for the XYZ spin chain. Theor Math Phys 164, 977–991 (2010). https://doi.org/10.1007/s11232-010-0078-3

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