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.
Keywords
Cite
@article{arxiv.solv-int/9911008,
title = {Multidimensional analogs of geometric s<-->t duality},
author = {I. G. Korepanov},
journal= {arXiv preprint arXiv:solv-int/9911008},
year = {2009}
}
Comments
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)