Geodesic
Multidimensional analogues of the geometric $s\leftrightarrow t$ duality
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 169-176 
I. G. Korepanov. Multidimensional analogues of the geometric $s\leftrightarrow t$ duality. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 169-176. http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a10/
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Voir la notice de l'article provenant de la source Math-Net.Ru

Customarily, the $s\leftrightarrow t$ duality property for scattering amplitudes, e.g., for the Veneziano amplitude, is naturally related to two-dimensional geometry. Saito and the author previously proposed a simple geometric construction of such amplitudes. Here, we construct analogues of one such amplitude related to multidimensional Euclidean spaces; the three-dimensional case is discussed in detail. The result is a variant of the Regge calculus closely related to integrable models.

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