Finite-dimensional analogs of string s <-> t duality and pentagon equation

Details Finite-dimensional analogs of string s <-> t duality and pentagon equation Finite-dimensional analogs of string s <-> t duality and pentagon equation

1998-12-16

arxiv.org/abs/solv-int/9812016v1

Theor.Math.Phys. 120 (1999) 862-869; Teor.Mat.Fiz. 120 (1999) 54-63

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 12 pages, 6 eps figures

Scientific paper

10.1007/BF02557395

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.

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