Bihamiltonity as origin of T-duality of the closed string model

Details Bihamiltonity as origin of T-duality of the closed string model Bihamiltonity as origin of T-duality of the closed string model

2001-03-13

arxiv.org/abs/hep-th/0103097v2

Nucl.Phys.Proc.Suppl. 102 (2001) 71-76

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, Latex 2e

Scientific paper

10.1016/S0920-5632(01)01538-9

In assumption,that string model is the integrable model for particular kind of the background fields, the closed string model in the background gravity field and the antisymmetric B-field is considered as the bihamiltonian system. It is shown, that bihamiltonity is origin of T-duality of the string models. The new Poisson brackets, depending of the background fields and of their derivatives, are obtained. The integrability condition is obtained as the compactability of the bihamoltonity condition and the Jacobi identity of the new Poisson bracket. The B-chiral string model is dual to the chiral string model for the constant background fields.

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