Time-Dependent Warping, Fluxes, and NCYM

Abstract

We describe the supergravity solutions dual to D6-branes with both time-dependent and time-independent B-fields. These backgrounds generalize the Taub-NUT metric in two key ways: they have asymmetric warp factors and background fluxes. In the time-dependent case, the warping takes a novel form. Kaluza-Klein reduction in these backgrounds is unusual, and we explore some of the new features. In particular, we describe how a localized gauge-field emerges with an analogue of the open string metric and coupling. We also describe a gravitational analogue of the Seiberg-Witten map. This provides a framework in supergravity both for studying non-commutative gauge theories, and for constructing novel warped backgrounds.

arXiv comment32 pages, LaTeX, references added

References in corpus (26)

• String Theory and Noncommutative Geometry
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• M Theory, Orientifolds and G-Flux
• The eleven-dimensional supermembrane revisited
• Large N Limit of Non-Commutative Gauge Theories
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Gravitational Lorentz Violations and Adjustment of the Cosmological Constant in Asymmetrically Warped Spacetimes
• D-Brane Primer
• Supergravity and Large N Noncommutative Field Theories
• The geometry of null rotation identifications
• Holography and String Dynamics in Time-dependent Backgrounds
• Dyons and S-Duality in N=4 Supersymmetric Gauge Theory
• Electromagnetic Duality and $SU(3)$ Monopoles
• Generalised supersymmetric fluxbranes
• On the partition sum of the NS five-brane
• NCOS and D-branes in Time-dependent Backgrounds
• Kaluza-Klein Dyons in String Theory
• Kaluza-Klein Monopoles and Gauged Sigma-Models
• String Theoretic Bounds on Lorentz-Violating Warped Compactification
• Noncommutativity in a Time-Dependent Background
• Pinned Branes and New Non Lorentz Invariant Theories
• Goldstone Tensor Modes
• Born-Infeld Action and Chern-Simons Term from Kaluza-Klein Monopole in M-theory
• Graviton Scattering on D6 Branes with B Fields
• Branes in Time-Dependent Backgrounds and AdS/CFT Correspondence
• The geometry of the M5-branes and TQFTs

Cited by in corpus (31)

• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• Time Dependent Cosmologies and Their Duals
• Geometric Transitions, Flops and Non-Kahler Manifolds: I
• Time-dependent AdS/CFT Duality and Null Singularity
• Effective Dynamics of the Matrix Big Bang
• Geometric Transitions, Flops and Non-Kahler Manifolds: II
• Cosmologies with Null Singularities and their Gauge Theory Duals
• In the Realm of the Geometric Transitions
• Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
• Quantum Corrections and the de Sitter Swampland Conjecture
• Gauge Theories with Time Dependent Couplings and their Cosmological Duals
• The UV/IR Interplay in Theories with Space-time Varying Non-commutativity
• A Matrix Model for the Null-Brane
• Gauge-Gravity Dualities, Dipoles and New Non-Kahler Manifolds
• Toward the End of Time
• de Sitter Space as a Glauber-Sudarshan State
• D-terms on the resolved conifold
• On Branes and Oriented B-fields
• Slowly Varying Dilaton Cosmologies and their Field Theory Duals
• String spectra near some null cosmological singularities
• Brane Inflation, Solitons and Cosmological Solutions: I
• Dipole-Deformed Bound States and Heterotic Kodaira Surfaces
• The Seiberg-Witten Map for a Time-dependent Background
• Kahler versus Non-Kahler Compactifications
• Unitarity bounds and RG flows in time dependent quantum field theory
• Non-Kahler Resolved Conifold, Localized Fluxes in M-Theory and Supersymmetry
• DBI from Gravity
• Isometric Embeddings and Noncommutative Branes in Homogeneous Gravitational Waves
• Resolved gravity duals of $\mathcal{N}=4$ quiver field theories in 2+1 dimensions
• F-Theory, Seiberg-Witten Curves and N = 2 Dualities
• Towards New Classes of Flux Compactifications