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T-dualising the Deformed and Resolved Conifold

McOrist, J and Royston, AB (2011) T-dualising the Deformed and Resolved Conifold Classical and Quantum Gravity.

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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.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
Royston, AB
Date : 29 July 2011
Related URLs :
Depositing User : Symplectic Elements
Date Deposited : 17 May 2017 12:31
Last Modified : 10 Jun 2019 14:03

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