Tetrahedron Equations and the Relativistic S-Matrix of Straight-Strings in 2 + 1-Dimensions
The quantum S-matrix theory of straight-strings (infinite one-dimensional objects like straight domain walls) in 2 + 1-dimensions is considered. The S-matrix is supposed to be “purely elastic” and factorized. The tetrahedron equations (which are the factorization conditions) are investigated for the special “two-colour” model. The relativistic three-string S-matrix, which apparently satisfies this tetrahedron equation, is proposed.