Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-12-05
Class.Quant.Grav.18:1333-1354,2001
Physics
High Energy Physics
High Energy Physics - Theory
26 pages, latex. misprints in eq.(3.10) corrected
Scientific paper
10.1088/0264-9381/18/7/315
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.
Papadopoulos George
Tseytlin Arkady A.
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