منابع مشابه
A note on the eight tetrahedron equations
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 generalising the Yang-Baxter equation. Under additional restrictions this system reduces to the usual tetrahedron equation in the vertex form. Mo...
متن کاملOn Pentagon And Tetrahedron Equations
We show that solutions of Pentagon equations lead to solutions of the Tetrahedron equation. The result is obtained in the spectral parameter dependent case. URA 1436 ENSLAPP du CNRS, associée à l’Ecole Normale Supérieure de Lyon et au Laboratoire d’Annecy de Physique des Particules. email: [email protected] Ref. ENSLAPP xxx/93 November 1993
متن کاملElliptic solution for modified tetrahedron equations
As is known, tetrahedron equations lead to the commuting family of transfer-matrices and provide the integrability of corresponding three-dimensional lattice models. We present the modified version of these equations which give the commuting family of more complicated two-layer transfer-matrices. In the static limit we have succeeded in constructing the solution of these equations in terms of e...
متن کاملFast Tetrahedron-Tetrahedron Overlap Algorithm
We present an algorithm to test two tetrahedra for overlap. The algorithm is based on a dimension reduction technique that allows to apply the Separating Axis Theorem avoiding part of the computation needed to perform the Separating Axis Test. Source code is available online.
متن کاملLabeling Schemes for Tetrahedron Equations and Dualities between Them
Zamolodchikov's tetrahedron equations, which were derived by considering the scattering of straight strings, can be written in three diierent labeling schemes: one can use as labels the states of the vacua between the strings, the states of the string segments, or the states of the particles at the intersections of the strings. We give a detailed derivation of the three corresponding tetrahedro...
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ژورنال
عنوان ژورنال: Journal of Mathematical Physics
سال: 1997
ISSN: 0022-2488,1089-7658
DOI: 10.1063/1.532055