M-theory on `toric' G_2 cones and its type II reduction
arXiv:hep-th/0205070 · doi:10.1088/1126-6708/2002/10/038
Abstract
We analyze a class of conical G_2 metrics admitting two commuting isometries, together with a certain one-parameter family of G_2 deformations which preserves these symmetries. Upon using recent results of Calderbank and Pedersen, we write down the explicit G_2 metric for the most general member of this family and extract the IIA reduction of M-theory on such backgrounds, as well as its type IIB dual. By studying the asymptotics of type II fields around the relevant loci, we confirm the interpretation of such backgrounds in terms of localized IIA 6-branes and delocalized IIB 5-branes. In particular, we find explicit, general expressions for the string coupling and R-R/NS-NS forms in the vicinity of these objects. Our solutions contain and generalize the field configurations relevant for certain models considered in recent work of Acharya and Witten.
45 pages, references added
References in corpus (16)
- 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 Holonomy
- Gauge Theory at Large N and New G_2 Holonomy Metrics
- Hypermultiplets, Hyperkahler Cones and Quaternion-Kahler Geometry
- 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
- D-Brane Probes of Special Holonomy Manifolds
- M-theory Conifolds
- Duality and Fibrations on G_2 Manifolds
- Anomaly Cancellation On Manifolds Of G_2 Holonomy
- U(1) x U(1) Quaternionic Metrics from Harmonic Superspace
- M-theory compactifications on certain `toric' cones of holonomy
- Singular 7-manifolds with G_2 holonomy and intersecting 6-branes
- Quaternionic Extension of the Double Taub-NUT Metric
Cited by in corpus (14)
- M theory and Singularities of Exceptional Holonomy Manifolds
- Intersecting brane solutions in string and M-theory
- 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
- M-theory compactifications on certain `toric' cones of holonomy
- Toric selfdual Einstein metrics on compact orbifolds
- New Spin(7) holonomy metrics admiting G2 holonomy reductions and M-theory/IIA dualities
- Rolling G_2 Moduli
- A construction of G_2 holonomy spaces with torus symmetry
- Enhanced gauge symmetry from `toric' G_2 cones
- 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