Poisson-Lie T-plurality as canonical transformation
arXiv:hep-th/0608133 · doi:10.1016/j.nuclphysb.2007.01.017
Abstract
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.
11 pages. Details of calculations added, version accepted for publication
References in corpus (9)
- Dual Non-Abelian Duality and the Drinfeld Double
- Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
- Poisson-Lie T-duality
- Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
- Poisson-Lie T-plurality
- Classification of 6-dimensional real Drinfeld doubles
- Poisson-Lie T-Duality and Supersymmetry
- Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
- Worldsheet boundary conditions in Poisson-Lie T-duality
Cited by in corpus (6)
- Non-geometric backgrounds in string theory
- Generalised fluxes, Yang-Baxter deformations and the O(d,d) structure of non-abelian T-duality
- Type II DFT solutions from Poisson-Lie T-duality/plurality
- Quantum equivalence in Poisson-Lie T-duality
- On the Poisson-Lie T-plurality of boundary conditions
- Cosmological string backgrounds from super Poisson-Lie T-plurality