D-Branes, Holonomy and M-Theory

Abstract

We show that M-theory on spaces with irreducible holonomy represent Type IIA backgrounds in which a collection of D6-branes wrap a supersymmetric cycle in a manifold with a holonomy group different from the one appearing in the M-theory description. For example, we show that D6-branes wrapping a supersymmetric four-cycle on a manifold with G_2 holonomy is described in eleven dimensions by M-theory on a space with Spin(7) holonomy. Examples of such Type IIA backgrounds which lift to M-theory on spaces with SU(3), G_2, SU(4) and Spin(7) holonomy are considered. The M-theory geometry can then be used to compute exact quantities of the gauge theory on the corresponding D-brane configuration.

20 pages, harvmac, typos corrected

Cited by in corpus (38)

• M theory and Singularities of Exceptional Holonomy Manifolds
• Cohomogeneity One Manifolds of Spin(7) and G(2) Holonomy
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• G(2) Holonomy Spaces from Invariant Three-Forms
• F-theory and Dark Energy
• Mirror Symmetry and a $G_2$ Flop
• Intersecting brane solutions in string and M-theory
• Local models for intersecting brane worlds
• Rotating membranes on G_2 manifolds, logarithmic anomalous dimensions and N=1 duality
• Fluxes and Branes in Type II Vacua and M-theory Geometry with G(2) and Spin(7) Holonomy
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• On Spin(7) holonomy metric based on SU(3)/U(1): II
• Matter From G(2) Manifolds
• Open/Closed String Dualities and Seiberg Duality from Geometric Transitions in M-theory
• Gauge theories from wrapped and fractional branes
• An eight-dimensional approach to G_2 manifolds
• Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds
• Glueballs of Super Yang-Mills from Wrapped Branes
• On SUSY Breaking And \chiSB From String Duals
• M-Theory solutions with AdS factors
• Supersymmetry, G-flux and Spin(7) manifolds
• Holographic description of SCFT${}_5$ compactifications
• The chiral anomaly from M theory
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• F-Theory on Spin(7) Manifolds: Weak-Coupling Limit
• Branes with fluxes wrapped on spheres
• Type IIA Orientifold Limit of M-Theory on Compact Joyce 8-Manifold of Spin(7)-Holonomy
• Global Worldsheet Anomalies from M-Theory
• Comments on M Theory Dynamics on G2 Holonomy Manifolds
• Gauge/Gravity Duality, Green Functions of N=2 SYM and Radial/Energy-Scale Relation
• Supersymmetric defects in the Maldacena-Nunez background
• $G_2$ holonomy metrics and wrapped D6-branes
• Calabi-Yau 3-folds from 2-folds
• New non compact Calabi-Yau metrics in D=6
• Supersymmetric quantum mechanics from wrapped branes
• Holonomy from wrapped branes
• Complete Calabi-Yau metrics from Kahler metrics in D=4