Ramond-Ramond cohomology and O\((D,D)\) T-duality
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Publication:1795969
DOI10.1007/JHEP09(2012)079zbMATH Open1397.81261arXiv1206.3478MaRDI QIDQ1795969
Author name not available (Why is that?)
Publication date: 16 October 2018
Published in: (Search for Journal in Brave)
Abstract: In the name of supersymmetric double field theory, superstring effective actions can be reformulated into simple forms. They feature a pair of vielbeins corresponding to the same spacetime metric, and hence enjoy double local Lorentz symmetries. In a manifestly covariant manner --with regard to O(D,D) T-duality, diffeomorphism, B-field gauge symmetry and the pair of local Lorentz symmetries-- we incorporate R-R potentials into double field theory. We take them as a single object which is in a bi-fundamental spinorial representation of the double Lorentz groups. We identify cohomological structure relevant to the field strength. A priori, the R-R sector as well as all the fermions are O(D,D) singlet. Yet, gauge fixing the two vielbeins equal to each other modifies the O(D,D) transformation rule to call for a compensating local Lorentz rotation, such that the R-R potential may turn into an O(D,D) spinor and T-duality can flip the chirality exchanging type IIA and IIB supergravities.
Full work available at URL: https://arxiv.org/abs/1206.3478
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