On Quantum T-duality in sigma models

Details On Quantum T-duality in sigma models On Quantum T-duality in sigma models

1998-06-09

arxiv.org/abs/hep-th/9806068v1

Nucl.Phys. B535 (1998) 461-482

Physics

High Energy Physics

High Energy Physics - Theory

LaTex, 24 pages

Scientific paper

10.1016/S0550-3213(98)00548-3

The problem of quantum equivalence between non-linear sigma models related by Abelian or non-Abelian T-duality is studied in perturbation theory. Using the anomalous Ward identity for Weyl symmetry we derive a relation between the Weyl anomaly coefficients of the original and dual theories. The analysis is not restricted to conformally invariant backgrounds. The formalism is applied to the study of two examples. The first is a model based on SU(2) non-Abelian T duality. The second represents a simple realization of Poisson-Lie T duality involving the Drinfeld double based on SU(2). In both cases quantum T duality is established at the 1-loop level.

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