Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry

Abstract

We construct the supergravity solution in 11 dimensions describing D6-branes wrapped around a Kahler four-cycle with a B-field along the flat directions of the brane. The configuration is dual to an N=2 noncommutative gauge theory in 2+1 dimensions. We also construct the four associated independent Killing spinors. The phenomenon of supersymmetry without supersymmetry appears naturally when compactifying to type IIA or 8d gauged supergravity. Therefore, this solution also provides an 11d background with four supercharges and four-form flux, which is not obtainable from 8d gauged supergravity.

17 pages. One typo, few comments and 1 reference added

References in corpus (45)

• Gauge Theory Correlators from Non-Critical String Theory
• String Theory Dynamics In Various Dimensions
• Supergravity description of field theories on curved manifolds and a no go theorem
• Towards the large N limit of pure N=1 super Yang Mills
• D-Branes and Topological Field Theories
• The eleven-dimensional supermembrane revisited
• Space-Time Noncommutative Field Theories And Unitarity
• Large N Limit of Non-Commutative Gauge Theories
• The domain-wall/QFT correspondence
• Space/Time Non-Commutativity and Causality
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry
• M-Fivebranes Wrapped on Supersymmetric Cycles
• The supergravity dual of a theory with dynamical supersymmetry breaking
• Supergravity and Large N Noncommutative Field Theories
• Supersymmetry and generalized calibrations
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• Fivebranes Wrapped On Associative Three-Cycles
• D6 branes and M theory geometrical transitions from gauged supergravity
• Wrapped fivebranes and N=2 super Yang-Mills theory
• Membranes Wrapped on Holomorphic Curves
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• N=2 Gauge Theories from Wrapped Five-branes
• Supersymmetry without Supersymmetry
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• Duality Versus Supersymmetry and Compactification
• A Note on Lie-Lorentz Derivatives
• Some Comments on N=1 Gauge Theories from Wrapped Branes
• Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions
• D-Branes, Holonomy and M-Theory
• Supergravity and D-branes Wrapping Supersymmetric 3-Cycles
• Branes Wrapped on Coassociative Cycles
• Fluxes and Branes in Type II Vacua and M-theory Geometry with G(2) and Spin(7) Holonomy
• Gauge theories from wrapped and fractional branes
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• Various Wrapped Branes from Gauged Supergravities
• An eight-dimensional approach to G_2 manifolds
• Holographic Noncommutativity
• On SUSY Breaking And \chiSB From String Duals
• M-Theory solutions with AdS factors
• D6-branes wrapping Kahler four-cycles
• M-Theory Giant Gravitons with C field
• Branes with fluxes wrapped on spheres
• A note on half-supersymmetric bound states in M-theory and type IIA

Cited by in corpus (30)

• Supergravity Microstates for BPS Black Holes and Black Rings
• Adding momentum to D1-D5 system
• Non-supersymmetric black rings as thermally excited supertubes
• Dynamical Decay of Brane-Antibrane and Dielectric Brane
• Brane Effective Actions, Kappa-Symmetry and Applications
• Branes, Calibrations and Supergravity
• Aspects of supertubes
• Exactly Soluble Dynamics of (p,q) String Near Macroscopic Fundamental Strings
• Various Wrapped Branes from Gauged Supergravities
• From D-Dbar Pairs to Branes in Motion
• All Higher Genus BPS Membranes in the Plane Wave Background
• Penrose Limits of the Baryonic D5-brane
• Supergravity Dual of Noncommutative N=1 SYM
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• A black hole instability in five dimensions?
• Euler Top Dynamics of Nambu-Goto P-Branes
• Tachyon Tube on non BPS D-branes
• Supersymmetric solutions based on Y^{p,q} and L^{p,q,r}
• Wrapped branes with fluxes in 8d gauged supergravity
• Kinky D-branes and straight strings of open string tachyon effective theory
• D1-D3 (or $\overline{\text{D}3}$) Systems with Fluxes
• Glueball mass spectra for supergravity duals of noncommutative gauge theories
• Supertubes in reduced holonomy manifolds
• Supertubes in Matrix model and DBI action
• Supersymmetric quantum mechanics from wrapped branes
• Holonomy from wrapped branes
• BIon Configuration with Fuzzy $S^2$ Structure
• Commutative and noncommutative N=2 SYM in 2+1 from wrapped D6-branes
• D-branes, gauge/string duality and noncommutative theories
• LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime