On Conifolds and D3-branes

Details On Conifolds and D3-branes On Conifolds and D3-branes

2001-10-23

arxiv.org/abs/hep-th/0110214v2

Phys.Lett. B524 (2002) 348-356

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, Latex, references and a note added, to appear in Physics Letters B

Scientific paper

10.1016/S0370-2693(01)01385-5

We search for Ricci flat, K\"{a}hler geometries which are asymptotic to the cone whose base is the space T^{11} by working out covariantly constant spinor equations. The metrics we find are singular in the interior and introducing parallel D3-branes does not form regular event horizons cloaking the naked singularities. We also work out a supersymmetric ansatz involving only the metric and the 5-form field corresponding to D3-branes wrapping over the non-trivial 2-cycle of T^{11}. We find a system of first-order equations and argue that the solution has an event horizon and the ADM mass per unit volume diverges logarithmically.

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