Poisson-Lie T-plurality as canonical transformation

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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11 pages. Details of calculations added, version accepted for publication

Scientific paper

10.1016/j.nuclphysb.2007.01.017

We generalize the prescription realizing classical Poisson-Lie T-duality as
canonical transformation to Poisson-Lie T-plurality. The key ingredient is the
transformation of left-invariant fields under Poisson-Lie T-plurality. Explicit
formulae realizing canonical transformation are presented and the preservation
of canonical Poisson brackets and Hamiltonian density is shown.

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