Journal of High Energy Physics

, 2012:79

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

Article

DOI: 10.1007/JHEP09(2012)079

Cite this article as:
Jeon, I., Lee, K. & Park, JH. J. High Energ. Phys. (2012) 2012: 79. doi:10.1007/JHEP09(2012)079

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.

Keywords

String Duality Supersymmetry and Duality Space-Time Symmetries Supersymmetric Effective Theories 

Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of PhysicsSogang UniversitySeoulKorea
  2. 2.Center for Quantum SpacetimeSogang UniversitySeoulKorea

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