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

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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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