Geodesic
Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 54-63 
I. G. Korepanov; S. Saito. Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 120 (1999) no. 1, pp. 54-63. http://geodesic.mathdoc.fr/item/TMF_1999_120_1_a3/
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     author = {I. G. Korepanov and S. Saito},
     title = {Finite-dimensional analogues of the string $s\leftrightarrow t$ duality and the pentagon equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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Voir la notice de l'article provenant de la source Math-Net.Ru

We use a variant of the functional pentagon equation (FPE) from the theory of integrable models as an algebraic explanation of the phenomenon known in physics as the $s\leftrightarrow t$ duality. We present two simple geometric examples of FPE solutions, one of which yields the Veneziano four-particle amplitude as a particular case. We interpret our FPE solutions in terms of relations in Lie groups.

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