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arxiv: hep-th/9702013 · v1 · submitted 1997-02-02 · ✦ hep-th · math.QA· nlin.SI· q-alg· solv-int

Tetrahedron Reflection Equation

classification ✦ hep-th math.QAnlin.SIq-algsolv-int
keywords equationobtainedreflectiontetrahedronadditionalalgebraboundarycondition
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Reflection equation for the scattering of lines moving in half-plane is obtained. The corresponding geometric picture is related with configurations of half-planes touching the boundary plane in 2+1 dimensions. This equation can be obtained as an additional to the tetrahedron equation consistency condition for a modified Zamolodchikov algebra.

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