M-Theory on Spin(7) Manifolds

Abstract

We study M-theory on two classes of manifolds of Spin(7) holonomy that are developing an isolated conical singularity. We construct explicitly a new class of Spin(7) manifolds and analyse in detail the topology of the corresponding classical spacetimes. We discover also an intricate interplay between various anomalies in M-theory, string theory, and gauge theory within these models, and in particular find a connection between half-integral G-fluxes in M-theory and Chern-Simons terms of the N=1, D=3 effective theory.

81 pages; minor corrections/clarifications, references added

Cited by in corpus (57)

• M theory and Singularities of Exceptional Holonomy Manifolds
• G-Structures, Fluxes and Calibrations in M-Theory
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• A geometric dual of $c$-extremization
• F-theory and Dark Energy
• On Flux Quantization in F-Theory
• Intersecting brane solutions in string and M-theory
• D-Brane Probes of Special Holonomy Manifolds
• A Note on Flux Induced Superpotentials in String Theory
• General Metrics of G_2 Holonomy and Contraction Limits
• An eight-dimensional approach to G_2 manifolds
• Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds
• M-theory on Spin(7) Manifolds, Fluxes and 3D, N=1 Supergravity
• Intersecting 6-branes from new 7-manifolds with G_2 holonomy
• Supersymmetry, G-flux and Spin(7) manifolds
• Reflections on the Matter of 3d $\mathcal{N}=1$ Vacua and Local $Spin(7)$ Compactifications
• IIA supergravity and M-theory on manifolds with SU(4) structure
• String and M-theory Deformations of Manifolds with Special Holonomy
• Non-Supersymmetric F-Theory Compactifications on Spin(7) Manifolds
• T-Branes and $G_2$ Backgrounds
• Calibrated Sub-Bundles in Non-Compact Manifolds of Special Holonomy
• Spin(7)-Manifolds as Generalized Connected Sums and 3d N=1 Theories
• Chern-Simons flows on Aloff-Wallach spaces and Spin(7)-instantons
• D-brane probes on G2 Orbifolds
• Almost Special Holonomy in Type IIA&M Theory
• F-Theory on Spin(7) Manifolds: Weak-Coupling Limit
• Branes and fluxes in special holonomy manifolds and cascading field theories
• D-Brane Probes of G_2 Holonomy Manifolds
• Octonions, G_2 Symmetry, Generalized Self-Duality and Supersymmetries in Dimensions D \le 8
• Weak $G_2$-manifolds and scale separation in M-theory from type IIA backgrounds
• Comments on domain walls in holographic duals of mass deformed conformal field theories
• Moduli and Brane Intersections
• Brane Resolution and Gravitational Chern-Simons terms
• Global Worldsheet Anomalies from M-Theory
• Special cohomogeneity one metrics with Q^111 or M^110 as principal orbit
• Geometric Unification of Higgs Bundle Vacua
• Spin(7)-manifolds with three-torus symmetry
• 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)
• Freezing of Moduli with Fluxes in Three Dimensions
• Complete non-compact Spin(7) manifolds from self-dual Einstein 4-orbifolds
• M-Theory Vacua from Warped Compactifications on Spin(7) Manifolds
• Quantization of charges and fluxes in warped Stenzel geometry
• Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
• Self-dual non-Abelian N = 1 tensor multiplet in D = 2+ 2 dimensions
• Finite-Temperature Fractional D2-Branes and the Deconfinement Transition in 2+1 Dimensions
• How to find the holonomy algebra of a Lorentzian manifold
• Self-Dual Yang-Mills and Vector-Spinor Fields, Nilpotent Fermionic Symmetry, and Supersymmetric Integrable Systems
• "Lagrangian Disks" in M-theory
• Resolving the M2-brane
• Constructing Calabi-Yau Metrics From Hyperkahler Spaces
• Anomalous Couplings in M-Theory and String Theory
• Harmonic Forms and Deformation of ALC metrics with Spin(7) holonomy
• Linear perturbations of metrics with holonomy Spin(7)
• CR-twistor spaces over manifolds with $G_2$- and $Spin(7)$-structures
• Spin(7)-Manifolds and Multisymplectic Geometry
• Spacetime singularity resolution by M-theory fivebranes: calibrated geometry, Anti-de Sitter solutions and special holonomy metrics