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The tetrahedral analog of Veneziano amplitude

1999/03/31 by I. G. Korepanov, Korepanov, I. G.
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Nonlinear Waves and Solitons #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9904005

LaTeX, 7 pages. v2: some minor editing

openalex publication_date 1999/03/31 · arxiv created 2009/11/30 · arxiv updated 2009/12/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In solv-int/9812016 it was shown that the Veneziano amplitude in string theory comes naturally from one of the simplest solutions of the functional pentagon equation (FPE). More generally, FPE is intimately connected with the duality condition for scattering processes. Here I find the amplitude that comes the same way from a solution of the functional tetrahedron equation, with the duality replaced by the local Yang - Baxter equation.

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