{ "id": "1109.2035", "version": "v3", "published": "2011-09-09T15:01:28.000Z", "updated": "2012-06-15T10:36:37.000Z", "title": "Incorporation of fermions into double field theory", "authors": [ "Imtak Jeon", "Kanghoon Lee", "Jeong-Hyuck Park" ], "comment": "(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", "journal": "JHEP 11 (2011) 025", "doi": "10.1007/JHEP11(2011)025", "categories": [ "hep-th" ], "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 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.", "revisions": [ { "version": "v3", "updated": "2012-06-15T10:36:37.000Z" } ], "analyses": { "subjects": [ "04.65.+e", "04.60.Cf" ], "keywords": [ "double field theory", "construct corresponding covariant dirac operators", "iib supergravities", "incorporation", "type iia" ], "tags": [ "journal article" ], "publication": { "publisher": "Springer", "journal": "Journal of High Energy Physics", "year": 2011, "month": "Nov", "volume": 2011, "pages": 25 }, "note": { "typesetting": "TeX", "pages": 21, "language": "en", "license": "arXiv", "status": "editable", "inspire": 926959, "adsabs": "2011JHEP...11..025J" } } }