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On Conifolds and D3-branes

Ali Kaya
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Abstract

We search for Ricci flat, Kähler 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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Ali Kaya. 2001-11-25. On Conifolds and D3-branes. https://doi.org/10.1016/s0370-2693(01)01385-5

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