{ "id": "hep-th/0507069", "version": "v2", "published": "2005-07-07T19:09:46.000Z", "updated": "2006-04-22T18:47:56.000Z", "title": "An index for the Dirac operator on D3 branes with background fluxes", "authors": [ "Eric Bergshoeff", "Renata Kallosh", "Amir-Kian Kashani-Poor", "Dmitri Sorokin", "Alessandro Tomasiello" ], "comment": "Fermion coupling to five-form restored, conclusions of the paper unchanged", "journal": "JHEP 0510:102,2005", "doi": "10.1088/1126-6708/2005/10/102", "categories": [ "hep-th" ], "abstract": "We study the problem of instanton generated superpotentials in Calabi-Yau orientifold compactifications directly in type IIB string theory. To this end, we derive the Dirac equation on a Euclidean D3 brane in the presence of background fluxes. We propose an index which governs whether the generation of a superpotential in the effective 4d theory by D3 brane instantons is possible. Applying the formalism to various classes of examples, including the K3 x T^2/Z_2 orientifold, in the absence and presence of fluxes, we show that our results are consistent with conclusions attainable via duality from an M-theory analysis.", "revisions": [ { "version": "v2", "updated": "2006-04-22T18:47:56.000Z" } ], "analyses": { "keywords": [ "background fluxes", "dirac operator", "euclidean d3 brane", "type iib string theory", "d3 brane instantons" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Journal of High Energy Physics", "year": 2005, "month": "Oct", "volume": 2005, "number": 10, "pages": 102 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "inspire": 686920, "adsabs": "2005JHEP...10..102B" } } }