Simplified tetrahedron equations: Fermionic realization
arXiv:cond-mat/0508148 · doi:10.1016/j.nuclphysb.2005.11.023
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.
Latex file, 24 pages, 4 figures