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arXiv · hep-th/0112098

M-theory Conifolds

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

Seven-manifolds of G_2 holonomy provide a bridge between M-theory and string theory, via Kaluza-Klein reduction to Calabi-Yau six-manifolds. We find first-order equations for a new family of G_2 metrics D_7, with S^3\times S^3 principal orbits. These are related at weak string coupling to the resolved conifold, paralleling earlier examples B_7 that are related to the deformed conifold, allowing a deeper study of topology change and mirror symmetry in M-theory. The D_7 metrics' non-trivial parameter characterises the squashing of an S^3 bolt, which limits to S^2 at weak coupling. In general the D_7 metrics are asymptotically locally conical, with a nowhere-singular circle action.

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M. Cvetic, G. W. Gibbons, H. Lu, C. N. Pope. 2001-12-12. M-theory Conifolds. https://doi.org/10.1103/physrevlett.88.121602

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