Poisson-Lie T-Duality: the Path-Integral Derivation

Abstract

We formulate Poisson-Lie T-duality in a path-integral manner that allows us to analyze the quantum corrections. Using the path-integral, we rederive the most general form of a Poisson-Lie dualizeable background and the generalized Buscher transformation rules it has to satisfy.

16 pages, plain LaTeX 2e, one paragraph added to the conclusions; this is the final version accepted by Physics Letters B

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• Dressing Cosets
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• Poisson-Lie T-duality of String Effective Actions: A New Approach to the Dilaton Puzzle
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• Hamiltonian Approach to Poisson Lie T-Duality
• Poisson-Lie duals of the eta deformed symmetric space sigma model
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• Quantum equivalence of sigma models related by non Abelian Duality Transformations
• On current algebras, generalised fluxes and non-geometry
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• Poisson-Lie T-plurality of three-dimensional conformally invariant sigma models II: Nondiagonal metrics and dilaton puzzle
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• T-Duality for Coset Models
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• Worldsheet boundary conditions in Poisson-Lie T-duality
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• Non-Abelian Duality in the String Effective Action
• Poisson-Lie T-duality and (1,1) supersymmetry
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• Poisson-Lie T-duality defects and target space fusion
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Description of D-branes invariant under the Poisson-Lie T-plurality
• Poisson-Lie T-duality and N=2 superconformal WZNW models on compact groups
• Comments on Dualities on Group Manifolds and Supersymmetry
• Supersymmetric Quantum Corrections and Poisson-Lie T-Duality
• Algebra and Twisted Algebra in Toroidal Target Space
• Non-Abelian target space duals of Thurston geometries