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arXiv · hep-th/0012034

Complex geometry of conifolds and 5-brane wrapped on 2-sphere

G. Papadopoulos·A. A. Tseytlin
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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.

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G. Papadopoulos, A. A. Tseytlin. 2004-12-03. Complex geometry of conifolds and 5-brane wrapped on 2-sphere. https://doi.org/10.1088/0264-9381%2F18%2F7%2F315

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