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arXiv · hep-th/0106026

Supersymmetric M3-branes and G_2 Manifolds

M. Cvetic·G. W. Gibbons·H. Lu·C. N. Pope
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Abstract

We obtain a generalisation of the original complete Ricci-flat metric of G_2 holonomy on R^4\times S^3 to a family with a non-trivial parameter λ. For generic λthe solution is singular, but it is regular when λ={-1,0,+1}. The case λ=0 corresponds to the original G_2 metric, and λ={-1,1} are related to this by an S_3 automorphism of the SU(2)^3 isometry group that acts on the S^3\times S^3 principal orbits. We then construct explicit supersymmetric M3-brane solutions in D=11 supergravity, where the transverse space is a deformation of this class of G_2 metrics. These are solutions of a system of first-order differential equations coming from a superpotential. We also find M3-branes in the deformed backgrounds of new G_2-holonomy metrics that include one found by A. Brandhuber, J. Gomis, S. Gubser and S. Gukov, and show that they also are supersymmetric.

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M. Cvetic, G. W. Gibbons, H. Lu, C. N. Pope. 2001-06-11. Supersymmetric M3-branes and G_2 Manifolds. https://doi.org/10.1016/s0550-3213(01)00534-x

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