2005/08/05 by J. Ambjørn, J. Ambjorn, Sh. Khachatryan +1
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Applied mathematics #Commutative property #Computer science #Generalization #Geometry #Mathematical analysis #Mathematics #Nonlinear Waves and Solitons #Pure mathematics #Realization (probability) #Tetrahedron #Transfer (computing) #cond-mat.stat-mech #cond-mat.str-el #hep-th #math-ph #math.MP
paper · pdf · doi:10.1016/j.nuclphysb.2005.11.023
published as Nucl.Phys. B734 (2006) 287-303 · Latex file, 24 pages, 4 figures
arxiv created 2005/08/05 · openalex publication_date 2005/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.