Incorporation of fermions into double field theory

Details Incorporation of fermions into double field theory Incorporation of fermions into double field theory

2011-09-09

arxiv.org/abs/1109.2035v2

JHEP 11 (2011) 025

Physics

High Energy Physics

High Energy Physics - Theory

1+21 pages, no figure; Refs. added, to appear in JHEP

Scientific paper

10.1007/JHEP11(2011)025

Based on the stringy differential geometry we proposed earlier, we incorporate fermions such as gravitino and dilatino into double field theory in a manifestly covariant manner with regard to O(D,D) T-duality, diffeomorphism, one-form gauge symmetry for B-field and a pair of local Lorentz symmetries. We note that there are two kinds of fermions in double field theory: O(D,D) singlet and non-singlet which may be identified, respectively as the common and the non-common fermionic sectors in type IIA and IIB supergravities. For each kind, we construct corresponding covariant Dirac operators. Further, we derive a simple criterion for an O(D,D) rotation to flip the chirality of the O(D,D) non-singlet chiral fermions, which implies the exchange of type IIA and IIB supergravities.

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