Differential geometry with a projection: application to double field theory
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Publication:715522
DOI10.1007/JHEP04(2011)014zbMATH Open1250.81085arXiv1011.1324WikidataQ115390734 ScholiaQ115390734MaRDI QIDQ715522
Author name not available (Why is that?)
Publication date: 29 October 2012
Published in: (Search for Journal in Brave)
Abstract: In recent development of double field theory, as for the description of the massless sector of closed strings, the spacetime dimension is formally doubled, i.e. from D to D+D, and the T-duality is realized manifestly as a global O(D,D) rotation. In this paper, we conceive a differential geometry characterized by a O(D,D) symmetric projection, as the underlying mathematical structure of double field theory. We introduce a differential operator compatible with the projection, which, contracted with the projection, can be covariantized and may replace the ordinary derivatives in the generalized Lie derivative that generates the gauge symmetry of double field theory. We construct various gauge covariant tensors which include a scalar and a tensor carrying two O(D,D) vector indices.
Full work available at URL: https://arxiv.org/abs/1011.1324
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