Non-Abelian Duality in the String Effective Action

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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26 pages, LaTeX, minor changes and typos corrected. Accepted for publication in Nuclear Physics B

Scientific paper

10.1016/S0550-3213(00)00690-8

We study the symmetry of the one-loop effective action of bosonic string theory under non-Abelian T-duality transformations. It is shown that the original Lagrangian and its dual are proportional. This result implies that the corresponding reduced low energy effective actions are equivalent and leads to a functional relation between the Weyl anomaly coefficients of the original and dual two-dimensional non-linear sigma models. {}Finally, we apply this formalism to some simple examples.

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