Quantum Poisson-Lie T-duality and WZNW model Original Research Article

A pair of conformal σ-models related by Poisson-Lie T-duality is constructed by starting with the O(2,2) Drinfeld double. The duality relates the standard SL(2,R) WZNW model to a constrained σ-model defined on the SL(2,R) group space. The quantum equivalence of the models is established by using a path integral argument.