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Ramond-Ramond cohomology and O(D, D) T-duality

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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.

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Authors and Affiliations

  1. Department of Physics, Sogang University, Seoul, 121-742, Korea

    Imtak Jeon & Jeong-Hyuck Park

  2. Center for Quantum Spacetime, Sogang University, Seoul, 121-742, Korea

    Kanghoon Lee

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  1. Imtak Jeon
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Jeon, I., Lee, K. & Park, JH. Ramond-Ramond cohomology and O(D, D) T-duality. J. High Energ. Phys. 2012, 79 (2012). https://doi.org/10.1007/JHEP09(2012)079

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