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. (c) 2007 Elsevier B.V. All rights reserved.
机构:
Univ Craiova, Fac Sci, Dept Appl Math, 13 Al I Cuza St, Craiova 200585, RomaniaUniv Craiova, Fac Sci, Dept Appl Math, 13 Al I Cuza St, Craiova 200585, Romania
机构:
Univ N Carolina, Dept Phys & Astron, Chapel Hill, NC 27599 USA
Univ Penn, Dept Phys & Astron, Philadelphia, PA 19104 USAUniv N Carolina, Dept Phys & Astron, Chapel Hill, NC 27599 USA