Finite-dimensional analogs of string s <-> t duality and pentagon equation
Korepanov, I. G. ; Saito, S.
arXiv, 9812016 / Harvested from arXiv
We put forward one of the forms of functional pentagon equation (FPE), known from the theory of integrable models, as an algebraic explanation to the phenomenon known in physics as s<->t duality. We present two simple geometrical examples of FPE solutions, one of them yielding in a particular case the well-known Veneziano expression for 4-particle amplitude. Finally, we interpret our solutions of FPE in terms of relations in Lie groups.
Publié le : 1998-12-16
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  High Energy Physics - Theory,  Mathematical Physics
@article{9812016,
     author = {Korepanov, I. G. and Saito, S.},
     title = {Finite-dimensional analogs of string s <-> t duality and pentagon
  equation},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9812016}
}
Korepanov, I. G.; Saito, S. Finite-dimensional analogs of string s <-> t duality and pentagon
  equation. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9812016/