Year: 1997
Type: article
Abstract: In this article we give a calculation of the two-loop $\ensuremath{\sigma}$-model corrections to the $T$-duality map in string theory. We use the effective action approach, and analyze two-loop corrections in a specific subtraction scheme. Focusing on backgrounds which have a single Abelian isometry, we find the explicit form for the $O({\ensuremath{\alpha}}^{\ensuremath{'}})$ modifications of the lowest order duality transformations. Rather surprisingly, the manifest two-loop duality depends crucially on the torsion field. In contrast with the dilaton and metric fields, which are merely passive spectators, the torsion plays a more active role, because of the anomalous couplings to the gauge fields that arise via dimensional reduction. Our results support the interpretation of $T$ duality as an expansion in the inverse string tension ${\ensuremath{\alpha}}^{\ensuremath{'}}$, and its order-by-order realization as a manifest symmetry of the full string theory.
Authors: Nemanja Kaloper, Krzysztof A. Meissner
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2028340522