Fivebranes Wrapped on SLAG Three-Cycles and Related Geometry

Abstract

We construct ten-dimensional supergravity solutions corresponding to the near horizon limit of IIB fivebranes wrapping special Lagrangian three-cycles of constant curvature. The case of branes wrapping a three-sphere provides a gravity dual of pure N=2 super-Yang-Mills theory in D=3. The non-trivial part of the solutions are seven manifolds that admit two G_2 structures each of which is covariantly constant with respect to a different connection with torsion. We derive a formula for the generalised calibration for this general class of solutions. We discuss analogous aspects of the geometry that arises when fivebranes wrap other supersymmetric cycles which lead to Spin(7) and SU(N) structures. In some cases there are two covariantly constant structures and in others one.

v2: 26 pages, 3 figures, 1 table. Section 7 slightly expanded, references added

References in corpus (9)

• The supergravity dual of a theory with dynamical supersymmetry breaking
• Supergravity duals of gauge theories from F(4) gauged supergravity in six dimensions
• Wrapped fivebranes and N=2 super Yang-Mills theory
• Membranes Wrapped on Holomorphic Curves
• M-Fivebranes Wrapped on Supersymmetric Cycles II
• Supergravity duals of gauge field theories from SU(2) x U(1) gauged supergravity in five dimensions
• Branes Wrapped on Coassociative Cycles
• D=2+1 N=2 Yang-Mills Theory From Wrapped Branes
• Non-Abelian vacua in D=5, N=4 gauged supergravity

Cited by in corpus (130)

• Quasinormal modes of black holes and black branes
• All supersymmetric solutions of minimal supergravity in five dimensions
• Non-Kaehler String Backgrounds and their Five Torsion Classes
• Superstrings with Intrinsic Torsion
• The Geometry of D=11 Killing Spinors
• G-Structures and Wrapped NS5-Branes
• Supersymmetric AdS_5 solutions of M-theory
• Mirror Symmetry in Generalized Calabi-Yau Compactifications
• T-duality, Generalized Geometry and Non-Geometric Backgrounds
• Hitchin Functionals in N=2 Supergravity
• Geometric Model for Complex Non-Kaehler Manifolds with SU(3) Structure
• SU(3) x SU(3) compactification and mirror duals of magnetic fluxes
• Supersymmetric AdS_5 Solutions of Type IIB Supergravity
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Compactifications of Heterotic Strings on Non-Kahler Complex Manifolds: II
• G-Structures, Fluxes and Calibrations in M-Theory
• Gauged Supergravities
• Maximally supersymmetric solutions of ten- and eleven-dimensional supergravities
• The Geometry of D=11 Null Killing Spinors
• Killing spinor equations in dimension 7 and geometry of integrable G_2-manifolds
• A holographic dual for string theory on ${\mathrm{AdS}}_3\times {\mathrm{S}}^3\times {\mathrm{S}}^3\times {\mathrm{S}}^1$
• The Srni lectures on non-integrable geometries with torsion
• RR photons
• Heterotic String Theory on non-Kaehler Manifolds with H-Flux and Gaugino Condensate
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Properties Of Heterotic Vacua From Superpotentials
• Heterotic supersymmetry, anomaly cancellation and equations of motion
• AdS spacetimes from wrapped M5 branes
• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton
• RG flows from Spin(7), CY 4-fold and HK manifolds to AdS, Penrose limits and pp waves
• N=1 geometries for M-theory and type IIA strings with fluxes
• N=1 and N=2 Super Yang-Mills theories from wrapped branes
• The Search for a Holographic Dual to AdS(3)xS(3)xS(3)xS(1)
• Branes on Generalized Calibrated Submanifolds
• The warped, resolved, deformed conifold gets flavoured
• Brane Effective Actions, Kappa-Symmetry and Applications
• E7(7) formulation of N=2 backgrounds
• Worldsheet Descriptions of Wrapped NS Five-Branes
• Intersecting brane solutions in string and M-theory
• On the geometry of closed G2-structure
• Type IIB Killing spinors and calibrations
• D-branes on AdS flux compactifications
• Fluxes and Branes in Type II Vacua and M-theory Geometry with G(2) and Spin(7) Holonomy
• SU(3)-instantons and $G_2,Spin(7)$-heterotic string solitons
• Supersymmetric black lenses in five dimensions
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• Connections, Field Redefinitions and Heterotic Supergravity
• The effective action of the heterotic string compactified on manifolds with SU(3) structure
• Superconformal Field Theories for Compact G_2 Manifolds
• DWSB in heterotic flux compactifications
• Gauge theories from wrapped and fractional branes
• Various Wrapped Branes from Gauged Supergravities
• An eight-dimensional approach to G_2 manifolds
• N=1 vacua in Exceptional Generalized Geometry
• Moduli Stabilization in the Heterotic/IIB Discretuum
• Heterotic Resolved Conifolds with Torsion, from Supergravity to CFT
• On non-uniform smeared black branes
• The infinitesimal moduli space of heterotic $G_2$ systems
• Supersymmetry of the C-metric and the general Plebanski-Demianski solution
• On SUSY Breaking And \chiSB From String Duals
• The Heterotic Superpotential and Moduli
• Curvature decomposition of G_2 manifolds
• Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
• M-Theory solutions with AdS factors
• Electrified branes
• Gauge/String Duality in Confining Theories
• String vacua with flux from freely-acting obifolds
• AdS spacetimes from wrapped D3-branes
• Supersymmetric AdS Backgrounds in String and M-theory
• Heterotic compactifications on SU(2)-structure backgrounds
• No-scale supersymmetry breaking vacua and soft terms with torsion
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• Supergravity Dual of Noncommutative N=1 SYM
• On the geometry of string duals with backreacting flavors
• Non-Kaehler Heterotic String Solutions with non-zero fluxes and non-constant dilaton
• Let's Twist Again: General Metrics of G(2) Holonomy from Gauged Supergravity
• Geometry of Killing spinors in neutral signature
• BPS Action and Superpotential for Heterotic String Compactifications with Fluxes
• Wrapped Brane Solutions in Romans $F(4)$ Gauged Supergravity
• Supersymmetric AdS_3 solutions in Heterotic Supergravity
• Type II compactifications on manifolds with SU(2) x SU(2) structure
• Unquenched flavor in the gauge/gravity correspondence
• D-brane probes on G2 Orbifolds
• On T-folds, G-structures and Supersymmetry
• That's a wrap!
• Kahler versus Non-Kahler Compactifications
• Instability of brane cosmological solutions with flux compactifications
• Holographic duals of SQCD models in low dimensions
• Branes with fluxes wrapped on spheres
• M2-branes wrapped on holomorphic curves
• Compact supersymmetric solutions of the heterotic equations of motion in dimension 5
• Connection with torsion, parallel spinors and geometry of Spin(7) manifolds
• Superpotential of Three Dimensional $\mathcal{N}=1$ Heterotic Supergravity
• Wrapped branes with fluxes in 8d gauged supergravity
• Mink${}_3\times S^3$ solutions of type II supergravity
• $\mathcal{G}$-structure symmetries and anomalies in $(1,0)$ non-linear $\sigma$-models
• 5d Black holes, wrapped fivebranes and 3d Chern-Simons Super Yang-Mills
• N=2 and N=4 supergravities as compactifications from string theories in 10 dimensions
• Heterotic Kahler/non-Kahler Transitions
• Quantum Corrections in String Compactifications on SU(3) Structure Geometries
• Instability of de Sitter brane and horizon entropy in a 6D braneworld
• A Landscape of Field Theories
• Special holonomy sigma models with boundaries
• Gravity duals of 2d supersymmetric gauge theories
• The Geometry of M-Branes Wrapping Special Lagrangian Cycles
• Hypersymplectic Geometry and Supersymmetric Solutions in (t,s) 5D Supergravity
• Mink${}_4\times S^2$ Solutions of 10 and 11 Dimensional Supergravity
• Generalised Calibrations in AdS backgrounds from Exceptional Sasaki-Einstein Structures
• Instantons, five-branes and fractional strings
• Wrapped NS5-Branes, Consistent Truncations and Inönü-Wigner Contractions
• Weak metric structures on generalized Riemannian manifolds
• The heterotic G${}_2$ system with reducible characteristic holonomy
• Holonomy from wrapped branes
• On the localization manifold of 5d supersymmetric spinning black holes
• New Solution of D=11 Supergravity on S^7 from D=4
• Special Holonomy and Two-Dimensional Supersymmetric Sigma-Models
• Generalized Geometry and Partial Supersymmetry Breaking
• The quaternionic Heisenberg group and Heterotic String Solutions with non-constant dilaton in dimensions 7 and 5
• Flux Backgrounds and Exceptional Generalised Geometry
• Commutative and noncommutative N=2 SYM in 2+1 from wrapped D6-branes
• Moduli in General $SU(3)$-Structure Heterotic Compactifications
• The Structure of the Non-SUSY Baryonic Branch of Klebanov-Strassler
• Supersymmetry of the Robinson-Trautman solution
• Dynamical Tadpoles and Weak Gravity Constraints
• DWSB for heterotic flux compactifications
• Deformed Shatashvili-Vafa algebra for superstrings on AdS${}_3\times {\mathcal{M}}_7$
• Families of solutions of the heterotic G${}_2$ system
• Coclosed $G_2$-structures on $\text{SU}(2{)}^2$-invariant cohomogeneity one manifolds
• D-branes, gauge/string duality and noncommutative theories