The eight tetrahedron equations

Journal Article · Tue Jul 01 00:00:00 EDT 1997 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.532055· OSTI ID:530081

Hietarinta, J ^[1]; Nijhoff, F ^[2]

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1. Department of Physics, University of Turku, FIN-20014 Turku (Finland)
2. Department of Applied Mathematical Studies, University of Leeds, Leeds LS2 9JT (United Kingdom)

In this paper we derive from arguments of string scattering a set of eight tetrahedron equations, with different index orderings. It is argued that this system of equations is the proper system that represents integrable structures in three dimensions generalizing the Yang{endash}Baxter equation. Under additional restrictions this system reduces to the usual tetrahedron equation in the vertex form. Most known solutions fall under this class, but it is by no means necessary. Comparison is made with the work on braided monoidal 2-categories also leading to eight tetrahedron equations. {copyright} {ital 1997 American Institute of Physics.}

• OSTI ID: 530081
• Journal Information: Journal of Mathematical Physics, Vol. 38, Issue 7; Other Information: PBD: Jul 1997
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
SCATTERING
STRING MODELS
S MATRIX
EQUATIONS
ANALYTICAL SOLUTION