Geodesic
Multidimensional analogues of the geometric $s\leftrightarrow t$ duality
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 169-176

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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. 
@article{TMF_2000_124_1_a10,
     author = {I. G. Korepanov},
     title = {Multidimensional analogues of the geometric $s\leftrightarrow t$ duality},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {169--176},
     publisher = {mathdoc},
     volume = {124},
     number = {1},
     year = {2000},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a10/}
}
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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/