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arXiv · 1206.3478

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

Imtak Jeon·Kanghoon Lee·Jeong-Hyuck Park
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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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Imtak Jeon, Kanghoon Lee, Jeong-Hyuck Park. 2012-06-15. Ramond-Ramond Cohomology and O(D,D) T-duality. https://doi.org/10.1007/jhep09(2012)079

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