Tetrahedron Reflection Equation
A.P. Isaev (Dubna), P.P. Kulish (Paris, St.Petersburg)
TL;DR
This paper introduces a reflection equation for line scattering in half-plane scenarios, linking it to geometric configurations and extending the tetrahedron equation within a modified algebraic framework.
Contribution
It presents a new reflection equation related to the tetrahedron equation, connecting geometric configurations with algebraic structures in 2+1 dimensions.
Findings
Derived the reflection equation for half-plane line scattering
Connected the geometric picture with boundary configurations in 2+1 dimensions
Extended the tetrahedron equation with a modified algebraic condition
Abstract
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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