English

Fivebranes and resolved deformed G_2 manifolds

High Energy Physics - Theory 2011-06-13 v2 Differential Geometry

Abstract

We study supergravity solutions corresponding to fivebranes wrapped on a three-sphere inside a G_2 holonomy manifold. By changing a parameter the solutions interpolate between a G_2 manifold X_i \cong S^3 x R^4 with flux on a three-sphere and a distinct G_2 manifold X_j \cong S^3 x R^4 with branes on another three-sphere. Therefore, these realise a G_2 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 G_2 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 G_2 manifold S^3 x R^4.

Keywords

Cite

@article{arxiv.1008.0640,
  title  = {Fivebranes and resolved deformed G_2 manifolds},
  author = {Jerome Gaillard and Dario Martelli},
  journal= {arXiv preprint arXiv:1008.0640},
  year   = {2011}
}

Comments

47 pages, 5 figures; v2: typos fixed, reference added

R2 v1 2026-06-21T15:56:36.982Z