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

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.

20 pages, latex, v2: a discussion of curvature singularities and 1-d system added in section 2

References in corpus (3)

• Complex geometry of conifolds and 5-brane wrapped on 2-sphere
• A note on the holographic interpretation of string theory backgrounds with varying flux
• Gravity Duals of Fractional Branes in Various Dimensions

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