Incorporation of fermions into double field theory
Sep, 2011Citations per year
Abstract: (arXiv)
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.Note:
- (v1) 1+21 pages, no figure/ (v2) Refs. added, to appear in JHEP/ (v3) minor change, a comment in the last section removed and Eq.(3.22) corrected
- 04.65.+e
- 04.60.Cf
- Double field theory
- T-duality
- fermion: chiral
- operator: Dirac
- supergravity: Type IIA
- supergravity: Type IIB
- double field theory
- differential geometry
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