We study supergravity solutions corresponding to fivebranes wrapped on a three-sphere inside a G2, holonomy manifold. By changing a parameter the solutions interpolate between a G2, manifold Xi ̃= S3 × R4 with flux on a three-sphere and a distinct G2, manifold Xj ̃= S3 × R4 with branes on another three-sphere. Therefore, these realise a G2, geometric transition purely in the supergravity context. We can add D2 brane charge by applying a simple transformation to the initial solution and we obtain one-parameter deformations of warped G2, holonomy backgrounds. These solutions suggest a connection between the N = 1 Chern-Simons theory on the fivebranes and the field theory dual to D2 branes and fractional NS5 branes, transverse to the G2, manifold S3 × R4
Fivebranes and resolved deformed G2,manifolds
Martelli D.
2011-01-01
Abstract
We study supergravity solutions corresponding to fivebranes wrapped on a three-sphere inside a G2, holonomy manifold. By changing a parameter the solutions interpolate between a G2, manifold Xi ̃= S3 × R4 with flux on a three-sphere and a distinct G2, manifold Xj ̃= S3 × R4 with branes on another three-sphere. Therefore, these realise a G2, geometric transition purely in the supergravity context. We can add D2 brane charge by applying a simple transformation to the initial solution and we obtain one-parameter deformations of warped G2, holonomy backgrounds. These solutions suggest a connection between the N = 1 Chern-Simons theory on the fivebranes and the field theory dual to D2 branes and fractional NS5 branes, transverse to the G2, manifold S3 × R4| File | Dimensione | Formato | |
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