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Tetrahedron equations and the relativisticS-matrix of straight-strings in 2+1-Dimensions

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Abstract

The quantumS-matrix theory of straight-strings (infinite one-dimensional objects like straight domain walls) in 2+1-dimensions is considered. TheS-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-stringS-matrix, which apparently satisfies this tetrahedron equation, is proposed.

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Authors and Affiliations

  1. Landau Institute of Theoretical Physics, Vorobyevskoe Shosse, 2, V-334, Moscow, USSR

    A. B. Zamolodchikov

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  1. A. B. Zamolodchikov
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Communicated by Ya. G. Sinai

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Zamolodchikov, A.B. Tetrahedron equations and the relativisticS-matrix of straight-strings in 2+1-Dimensions. Commun. Math. Phys. 79, 489–505 (1981). https://doi.org/10.1007/BF01209309

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  • DOI: https://doi.org/10.1007/BF01209309

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