{ "id": "hep-th/0012034", "version": "v5", "published": "2000-12-05T22:50:47.000Z", "updated": "2004-12-03T16:58:22.000Z", "title": "Complex geometry of conifolds and 5-brane wrapped on 2-sphere", "authors": [ "G. Papadopoulos", "A. A. Tseytlin" ], "comment": "26 pages, latex. misprints in eq.(3.10) corrected", "journal": "Class.Quant.Grav.18:1333-1354,2001", "doi": "10.1088/0264-9381/18/7/315", "categories": [ "hep-th" ], "abstract": "We investigate solutions of type II supergravity which have the product R^4 x M^6 structure with non-compact M^6 factor and which preserve at least four supersymmetries. In particular, we consider various conifolds and the N=1 supersymmetric NS5-brane wrapped on 2-sphere solution recently discussed in hep-th/0008001. In all of these cases, we explicitly construct the complex structures, and the Kaehler and parallel (3,0) forms of the corresponding M^6. In addition, we verify that the above solutions preserve, respectively, eight and four supersymmetries of type II theory. We also demonstrate that the ordinary and fractional D3-brane solutions on singular, resolved and deformed conifolds, and the (S-dual of) NS5-brane wrapped on 2-sphere can be obtained as special cases from a universal ansatz for the supergravity fields and a single 1-d action governing their radial evolution. We show that like the 3-branes on conifolds, the NS5-brane on 2-sphere background can be found as a solution of first order system following from a superpotential.", "revisions": [ { "version": "v5", "updated": "2004-12-03T16:58:22.000Z" } ], "analyses": { "keywords": [ "complex geometry", "fractional d3-brane solutions", "first order system", "supersymmetric ns5-brane" ], "tags": [ "journal article" ], "publication": { "publisher": "IOP", "journal": "Class. Quantum Grav." }, "note": { "typesetting": "LaTeX", "pages": 26, "language": "en", "license": "arXiv", "status": "editable", "inspire": 538077 } } }