Abstract
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 suergravities. 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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ArXiv Eprint: 1109.2035
On leave of absence from Sogang University. (Imtak Jeon)
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Jeon, I., Lee, K. & Park, JH. Incorporation of fermions into double field theory. J. High Energ. Phys. 2011, 25 (2011). https://doi.org/10.1007/JHEP11(2011)025
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DOI: https://doi.org/10.1007/JHEP11(2011)025