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3-branes on spaces with R x S^2 x S^3 topology

L. A. Pando Zayas·A. A. Tseytlin
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Abstract

We study supergravity solutions representing D3-branes with transverse 6-space having R x S^2 x S^3 topology. We consider regular and fractional D3-branes on a natural one-parameter extensions of the standard Calabi-Yau metrics on the singular and resolved conifolds. After imposing a Z_2 identification on an angular coordinate these generalized "6-d conifolds" are nonsingular spaces. The backreaction of D3-branes creates a curvature singularity that coincides with a horizon. In the presence of fractional D3-branes the solutions are similar to the original ones in hep-th/0002159, hep-th/0010088: the metric has a naked repulson-type singularity located behind the radius where the 5-form flux vanishes. The semiclassical behavior of the Wilson loop suggests that the corresponding gauge theory duals are confining.

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L. A. Pando Zayas, A. A. Tseytlin. 2001-01-16. 3-branes on spaces with R x S^2 x S^3 topology. https://doi.org/10.1103/physrevd.63.086006

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