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Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality

Sfetsos, K (1997) Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality Nucl.Phys. B, 517. pp. 549-566.

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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.

Item Type: Article
Divisions : Surrey research (other units)
Authors :
Date : 21 October 1997
DOI : 10.1016/S0550-3213(97)00823-7
Uncontrolled Keywords : hep-th, hep-th
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:27
Last Modified : 24 Jan 2020 22:17

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