Finite-dimensional analogs of string s <-> t duality and pentagon equation
solv-int
2009-10-31 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.solv-int/9812016,
title = {Finite-dimensional analogs of string s <-> t duality and pentagon equation},
author = {I. G. Korepanov and S. Saito},
journal= {arXiv preprint arXiv:solv-int/9812016},
year = {2009}
}
Comments
LaTeX, 12 pages, 6 eps figures