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arXiv · 1107.5895

T-dualising the Deformed and Resolved Conifold

Jock McOrist·Andrew B. Royston
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Abstract

In a previous paper we used T-duality to construct a new type of 1/4-BPS solution describing a pair of NS5-branes intersecting in 1+3 dimensions and localised in all other directions except for a single transverse circle. This led to an explicit solution to a sourced Monge--Ampere equation, of which there are few known examples. In this paper we refine this formalism and apply it to two important generalisations: the resolved and deformed conifolds. In doing so we construct two new solutions describing, respectively, a pair of NS5-branes separated in a transverse direction and a pair of NS5-branes with smooth `diamond' profile. We show how the parameter of the resolved conifold (size of the S^2) maps to a transverse separation of the NS5-branes, while the modulus of the deformed conifold (size of the S^3) maps to the deformation parameter of the diamond web.

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Jock McOrist, Andrew B. Royston. 2011-09-21. T-dualising the Deformed and Resolved Conifold. https://doi.org/10.1088/0264-9381%2F29%2F5%2F055014

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