Multidimensional analogs of geometric s<-->t duality

Abstract

The usual propetry of s<-->t duality for scattering amplitudes, e.g. for Veneziano amplitude, is deeply connected with the 2-dimensional geometry. In particular, a simple geometric construction of such amplitudes was proposed in a joint work by this author and S.Saito (solv-int/9812016). Here we propose analogs of one of those amplitudes associated with multidimensional euclidean spaces, paying most attention to the 3-dimensional case. Our results can be regarded as a variant of "Regge calculus" intimately connected with ideas of the theory of integrable models.

LaTeX2e, pictures using emlines. In this re-submission, an English version of the paper is added (9 pages, file english.tex) to the originally submitted file in Russian (10 pages, russian.tex)

References in corpus (2)

• Functional Tetrahedron Equation
• Finite-dimensional analogs of string s <-> t duality and pentagon equation

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