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Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
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Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
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We prove that a transformation, conjectured in our previous work, between phase-space variables in $\s$-models related by Poisson-Lie T-duality is indeed a canonical one. We do so by explicitly demonstrating the invariance of the classical Poisson brackets. This is the first example of a class of $\s$-models with no isometries related by canonical transformations. In addition we discuss generating functionals of canonical transformations in generally non-isometric, bosonic and supersymmetric $\s$-models and derive the complete set of conditions that determine them. We apply this general formalism to find the generating functional for Poisson-Lie T-duality. We also comment on the relevance of this work to D-brane physics and to quantum aspects of T-duality.
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Cited by 1 Pith paper
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D-branes in $AdS_2 \times H^2 \times H^2$ under the non-Abelian T-duality
Poisson-Lie T-duality on A2^{3} yields a singular dual of AdS2 imes H2 imes H2 that preserves asymptotics and maps D-branes into explicit duality chains via gluing matrices.
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