Matter From G(2) Manifolds
arXiv:hep-th/0205184 · doi:10.1016/S0550-3213(02)00612-0
Abstract
We describe how chiral matter charged under SU(N) and SO(2N) gauge groups arises from codimension seven singularities in compactifications of M-theory on manifolds with G(2) holonomy. The geometry of these spaces is that of a cone over a six-dimensional Einstein space which can be constructed by (multiple) unfolding of hyper-Kahler quotient spaces. In type IIA the corresponding picture is given by stacks of intersecting D6-branes and chiral matter arises from open strings stretching between them. Usually one obtains (bi)fundamental representations but by including orientifold six-planes in the type IIA picture we find more exotic representations like the anti-symmetric, which is important for the study of SU(5) grand unification, and trifundamental representations. We also exhibit many cases where the G(2) metrics can be described explicitly, although in general the metrics on the spaces constructed via unfolding are not known.
29 pages; v2: typos, references
References in corpus (18)
- 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
- M-theory on Manifolds of G_2 Holonomy and Type IIA Orientifolds
- G(2) Holonomy Spaces from Invariant Three-Forms
- A G_2 Unification of the Deformed and Resolved Conifolds
- Supersymmetric M3-branes and G_2 Manifolds
- Cohomogeneity-one G2-structures
- D-Brane Probes of Special Holonomy Manifolds
- M-theory Conifolds
- D-Branes, Holonomy and M-Theory
- Chiral Type II Orientifold Constructions as M Theory on G_2 holonomy spaces
- M-Theory Dynamics On A Manifold Of G_2 Holonomy
- M-theory compactifications on certain `toric' cones of holonomy
- M-theory on `toric' G_2 cones and its type II reduction
- Singular 7-manifolds with G_2 holonomy and intersecting 6-branes
- Constructing compact manifolds with exceptional holonomy
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- Kahler Potential for M-theory on a G_2 Manifold
- Sasakian Geometry, Holonomy, and Supersymmetry
- Effective action from M-theory on twisted connected sum -manifolds
- Heterotic and M-theory Compactifications for String Phenomenology
- Non-perturbative vacua for M-theory on G2 manifolds
- CP-violating Phases in M-theory and Implications for EDMs
- G_2 Domain Walls in M-theory
- Effective Field Theories for Local Models in F-Theory and M-Theory
- Generalising G geometry: involutivity, moment maps and moduli
- Rolling G_2 Moduli
- Classification and Moduli Kahler Potentials of G_2 Manifolds
- Local -Manifolds, Higgs Bundles and a Colored Quantum Mechanics
- Geometrically Engineering the Standard Model: Locally Unfolding Three Families out of E8
- A construction of G_2 holonomy spaces with torus symmetry
- Four-dimensional Effective M-theory on a Singular G_2 Manifold
- Geometrically Engineerable Chiral Matter in M-Theory
- M-theory on G_2 manifolds and the method of (p,q) brane webs
- M-Theory on the Orbifold C^2/Z_N
- Unfolding Geometric Unification in M-Theory
- Quark and lepton mass matrices from localization in M-theory on orbifold
- Multiple Unfoldings of Orbifold Singularities: Engineering Geometric Analogies to Unification
- 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
- -Manifolds from 4d N=1 Theories, Part I: Domain Walls
- G-Manifolds and M-Theory Compactifications
- M-Theory on Manifolds with G_2 Holonomy