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Supersymmetric M3-branes and G2 manifolds

2002
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Nuclear Physics B
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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 \lambda. For generic \lambda the solution is singular, but it is regular when \lambda={-1,0,+1}. The case \lambda=0 corresponds to the original G_2 metric, and \lambda ={-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

doi:10.1016/s0550-3213(01)00534-x
fatcat:z5igxpc44vezlmud3ep5mltvlu