Simplified tetrahedron equations: Fermionic realization

Details Simplified tetrahedron equations: Fermionic realization Simplified tetrahedron equations: Fermionic realization

2005-08-05

arxiv.org/abs/cond-mat/0508148v1

Nucl.Phys. B734 (2006) 287-303

Physics

Condensed Matter

Statistical Mechanics

Latex file, 24 pages, 4 figures

Scientific paper

10.1016/j.nuclphysb.2005.11.023

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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