M-theory Conifolds

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.

Latex, 7 pages

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Cited by in corpus (39)

• M theory and Singularities of Exceptional Holonomy Manifolds
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• G(2) Holonomy Spaces from Invariant Three-Forms
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• A G_2 Unification of the Deformed and Resolved Conifolds
• D-Brane Probes of Special Holonomy Manifolds
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Matter From G(2) Manifolds
• General Metrics of G_2 Holonomy and Contraction Limits
• The Landscape of M-theory Compactifications on Seven-Manifolds with $G_2$ Holonomy
• Dualising the Baryonic Branch: Dynamic SU(2) and confining backgrounds in IIA
• An eight-dimensional approach to G_2 manifolds
• Conifolds and Geometric Transitions
• Glueballs of Super Yang-Mills from Wrapped Branes
• On Gauge Enhancement and Singular Limits in $G_2$ Compactifications of M-theory
• Non-perturbative orientifold transitions at the conifold
• Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
• M-theory compactifications on certain `toric' cones of $G_2$ holonomy
• Tops as Building Blocks for G2 Manifolds
• The chiral anomaly from M theory
• Deforming baryons into confining strings
• On the Universality Class of Certain String Theory Hadrons
• Moduli spaces of G2 manifolds
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• M-theory on `toric' G_2 cones and its type II reduction
• Almost Special Holonomy in Type IIA&M Theory
• S^1-wrapped D3-branes on Conifolds
• Geometric Transitions on non-Kaehler Manifolds
• Singularity Resolution in Gauged Supergravity and Conifold Unification
• G_2 Quivers
• Comments on M Theory Dynamics on G2 Holonomy Manifolds
• Reproducing the asymptotic behaviour of galaxy rotation curves by a novel constraint in general relativity
• Resolving the M2-brane
• Discrete Torsion in Singular G_2-Manifolds and Real LG
• G${}_2$-Manifolds and M-Theory Compactifications
• New G_2 metric, D6-branes and Lattice Universe
• Harmonic Forms and Deformation of ALC metrics with Spin(7) holonomy
• D-branes, gauge/string duality and noncommutative theories