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Complete T-dualization of a string in a weakly curved background. (English) Zbl 1317.81218
Dobrev, Vladimir (ed.), Lie theory and its applications in physics. Selected papers based on the presentations at the 10th international workshop, LT 10, Varna, Bulgaria, June 17–23, 2013. Tokyo: Springer (ISBN 978-4-431-55284-0/hbk; 978-4-431-55285-7/ebook). Springer Proceedings in Mathematics & Statistics 111, 13-20 (2014).
Summary: We apply the generalized Buscher procedure, to a subset of the initial coordinates of the bosonic string moving in the weakly curved background, composed of a constant metric and a linearly coordinate dependent Kalb-Ramond field with the infinitesimal strength. In this way we obtain the partially T-dualized action. Applying the procedure to the rest of the original coordinates we obtain the totally T-dualized action. This derivation allows the investigation of the relations between the Poisson structures of the original, the partially T-dualized and the totally T-dualized theory.
For the entire collection see [Zbl 1308.81006].

81T30 String and superstring theories; other extended objects (e.g., branes) in quantum field theory
81T20 Quantum field theory on curved space or space-time backgrounds
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