M-theory compactifications on certain `toric' cones of $G_2$ holonomy

Abstract

We develop methods to study the singularities of certain $G_2$ cones related to toric hyperkahler spaces and Einstein selfdual orbifolds. This allows us to determine the low energy gauge groups of chiral N=1 compactifications of M-theory on a large family of such backgrounds, which includes the models recently studied by Acharya and Witten. All M-theory compactifications belonging to our family admit a $T^2$ of isometries, and therefore T-dual IIA and IIB descriptions. We argue that reduction through such an isometry leads generically to systems of weakly and strongly coupled IIA 6-branes, T-dual to delocalized type IIB 5-branes. We find a simple criterion for the existence of a `good' isometry which leads to IIA models containing only weakly-coupled D6-branes, and construct examples of such backgrounds. Some of the methods we develop may also apply to different situations, such as the study of certain singularities in the hypermultiplet moduli space of N=2 supergravity in four dimensions.

83 pages, numerous figures v2,3: corrected typos, some references added

References in corpus (14)

• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• Chiral Fermions from Manifolds of $G_2$ Holonomy
• Gauge Theory at Large N and New G_2 Holonomy Metrics
• G(2) Holonomy Spaces from Invariant Three-Forms
• A G_2 Unification of the Deformed and Resolved Conifolds
• Gauging Isometries on Hyperkahler Cones and Quaternion-Kahler Manifolds
• M-theory Conifolds
• Chiral Type II Orientifold Constructions as M Theory on G_2 holonomy spaces
• Anomaly Cancellation On Manifolds Of G_2 Holonomy
• U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
• M-theory on `toric' G_2 cones and its type II reduction
• Quaternionic Extension of the Double Taub-NUT Metric
• Kahler metrics on toric orbifolds

Cited by in corpus (20)

• M theory and Singularities of Exceptional Holonomy Manifolds
• Matter From G(2) Manifolds
• Bianchi IX Self-dual Einstein Metrics and Singular G_2 Manifolds
• Intersecting 6-branes from new 7-manifolds with G_2 holonomy
• Kahler Potential for M-theory on a G_2 Manifold
• Toric selfdual Einstein metrics on compact orbifolds
• M-theory on `toric' G_2 cones and its type II reduction
• Toric G_2 and Spin(7) holonomy spaces from gravitational instantons and other examples
• Compactification with Flux and Yukawa Hierarchies
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
• Rolling G_2 Moduli
• Self-Dual Supergravity in Seven Dimensions with Reduced Holonomy G_2
• Self-Dual N=(1,0) Supergravity in Eight Dimensions with Reduced Holonomy Spin(7)
• Enhanced gauge symmetry from `toric' G_2 cones
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems
• New G2 holonomy metrics, D6 branes with inherent U(1)xU(1) isometry and gamma-deformations
• Intersecting branes from 7-manifolds with G_2 holonomy
• Toric hyperkahler manifolds with quaternionic Kahler bases and supergravity solutions