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Simplified tetrahedron equations: Fermionic realization

J. Ambjorn·Sh. Khachatryan·A. Sedrakyan
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Abstract

The natural generalization of the (two-dimensional) Yang-Baxter equations to three dimensions is known as the Zamolodchikov's tetrahedron equations. We consider a simplified version of these equations which still ensures the commutativity of the transfer matrices with different spectral parameters and we present a family of free fermionic solutions.

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J. Ambjorn, Sh. Khachatryan, A. Sedrakyan. 2005-08-05. Simplified tetrahedron equations: Fermionic realization. https://doi.org/10.1016/j.nuclphysb.2005.11.023

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