Comments on M Theory Dynamics on G2 Holonomy Manifolds

Abstract

We study the dynamics of M-theory on G2 holonomy manifolds, and consider in detail the manifolds realized as the quotient of the spin bundle over S^3 by discrete groups. We analyse, in particular, the class of quotients where the triality symmetry is broken. We study the structure of the moduli space, construct its defining equations and show that three different types of classical geometries are interpolated smoothly. We derive the N=1 superpotentials of M-theory on the quotients and comment on the membrane instanton physics. Finally, we turn on Wilson lines that break gauge symmetry and discuss some of the implications.

21pages, Latex2e. v2: minor changes

References in corpus (40)

• Chiral Four-Dimensional N=1 Supersymmetric Type IIA Orientifolds from Intersecting D6-Branes
• Three-Family Supersymmetric Standard-like Models from Intersecting Brane Worlds
• A Large N Duality via a Geometric Transition
• Disk Instantons, Mirror Symmetry and the Duality Web
• Chiral Fermions from Manifolds of $G_2$ Holonomy
• Gauge Theory at Large N and New G_2 Holonomy Metrics
• Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
• Geometric Transitions and N=1 Quiver Theories
• On Domain Walls of N=1 Supersymmetric Yang-Mills in Four Dimensions
• D6 branes and M theory geometrical transitions from gauged supergravity
• Orientifold, Geometric Transition and Large N Duality for SO/Sp Gauge Theories
• (Weak) G_2 Holonomy from Self-duality, Flux and Supersymmetry
• 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
• Mirror Symmetry and a $G_2$ Flop
• $G_2$ Manifolds, Mirror Symmetry and Geometric Engineering
• Supersymmetric M3-branes and G_2 Manifolds
• M-theory Conifolds
• Deconstruction, G_2 Holonomy, and Doublet-Triplet Splitting
• D-Branes, Holonomy and M-Theory
• Branes Wrapped on Coassociative Cycles
• Fluxes and Branes in Type II Vacua and M-theory Geometry with G(2) and Spin(7) Holonomy
• Moduli Spaces and Brane Solitons for M-Theory Compactifications on Holonomy G_2 Manifolds
• Superconformal Field Theories for Compact G_2 Manifolds
• M-Theory Dynamics On A Manifold Of G_2 Holonomy
• An eight-dimensional approach to G_2 manifolds
• Phases of supersymmetric gauge theories from M-theory on G_2 manifolds
• Orientifolds and Slumps in G_2 and Spin(7) Metrics
• Anomaly Cancellation On Manifolds Of G_2 Holonomy
• Rational Conformal Field Theories With G_2 Holonomy
• A New Fractional D2-brane, G_2 Holonomy and T-duality
• CFT Description of String Theory Compactified on Non-compact Manifolds with G_2 Holonomy
• Triples, Fluxes, and Strings
• Cascade of Special Holonomy Manifolds and Heterotic String Theory
• Unitary minimal models of SW(3/2,3/2,2) superconformal algebra and manifolds of G_2 holonomy
• Coset Construction of $Spin(7),G_2$ Gravitational Instantons
• R^4 corrections to conifolds and G_2 holonomy metrics
• Stringy Domain Walls of N=1, D=4 Supergravity
• Dirac equation on a G_2 manifold

Cited by in corpus (8)

• M theory and Singularities of Exceptional Holonomy Manifolds
• Heterotic Moduli Stabilization with Fractional Chern-Simons Invariants
• R^4, purified
• On the Quantum Moduli Space of M Theory Compactifications
• Confining Phase Superpotentials for SO/Sp Gauge Theories via Geometric Transition
• Non-perturbative orientifold transitions at the conifold
• Singular 7-manifolds with G_2 holonomy and intersecting 6-branes
• G_2 Holonomy, Mirror Symmetry and Phases of N=1 SYM