Tailoring T-Duality Beyond the First Loop

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages, Latex, no figures. Based on the talks given by N. Kaloper at the conferences Black Holes: Theory and Mathematical Asp

Scientific paper

In this article we review a recent calculation of the two-loop $\sigma$-model corrections to the T-duality map in string theory. Using the effective action approach, and focusing on backgrounds with a single Abelian isometry, we give the $O(\alpha')$ modifications of the lowest-order duality transformations. The torsion plays an important role in the theory to $O(\alpha')$, because of the Chern-Simons couplings to the gauge fields that arise via dimensional reduction.

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