Tuesday, November 6, 2012

1211.0901 (Jan Vysoky et al.)

Poisson-Lie Sigma Models on Drinfel'd double    [PDF]

Jan Vysoky, Ladislav Hlavaty
Poisson sigma models represent an interesting use of Poisson manifolds for the construction of a classical field theory. Their definition in the language of fibre bundles is shown and the corresponding field equations are derived using a coordinate independent variational principle. The elegant form of equations of motion for so called Poisson-Lie groups is derived. Construction of the Poisson-Lie group corresponding to a given Lie bialgebra is widely known only for coboundary Lie bialgebras. Using the adjoint representation of Lie group and Drinfel'd double we show that Poisson-Lie group can be constructed for general Lie bialgebra.
View original: http://arxiv.org/abs/1211.0901

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