Nonlinear Instantons from Supersymmetric p-Branes

Abstract

Supersymmetric configurations of type II D-branes with nonzero gauge field strengths in general supersymmetric backgrounds with nonzero B fields are analyzed using the kappa-symmetric worldvolume action. It is found in dimension four or greater that the usual instanton equation for the gauge field obtains a nonlinear deformation. The deformation is parameterized by the topological data of the B-field, the background geometry and the cycle wrapped by the brane. In the appropriate dimensions, limits and settings these equations reduce to deformed instanton equations recently found in the context of noncommutative geometry as well as those following from Lagrangians based on Bott-Chern forms. We further consider instantons comprised of M5-branes wrapping a Calabi-Yau space with non-vanishing three-form field strengths. It is shown that the instanton equations for the three-form are related to the Kodaira-Spencer equations.

35 pages, harvmac; small corrections in sections 3.3 and 3.5, references added

Cited by in corpus (175)

• Adding flavor to AdS/CFT
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Gravity Waves and Linear Inflation from Axion Monodromy
• The effective action of Type IIA Calabi-Yau orientifolds
• Computing Yukawa Couplings from Magnetized Extra Dimensions
• D3/D7 Inflationary Model and M-theory
• A scan for new N=1 vacua on twisted tori
• The effective action of D7-branes in N=1 Calabi-Yau orientifolds
• Orientifolds of K3 and Calabi-Yau Manifolds with Intersecting D-branes
• GUTs in Type IIB Orientifold Compactifications
• Moduli Stabilization in Chiral Type IIB Orientifold Models with Fluxes
• The spectrum of BPS branes on a noncompact Calabi-Yau
• Gaugino Condensates and D-terms from D7-branes
• Towards an Explicit Model of D-brane Inflation
• Loop-Corrected Compactifications of the Heterotic String with Line Bundles
• Progress in D-brane model building
• D-branes on general N=1 backgrounds: superpotentials and D-terms
• Generalized N=1 Orientifold Compactifications and the Hitchin functionals
• Supersymmetric D-branes and calibrations on general N=1 backgrounds
• Meson spectroscopy from holomorphic probes on the warped deformed conifold
• D-terms and F-terms from D7-brane fluxes
• D-branes at Singularities, Compactification, and Hypercharge
• M-Theory Inflation from Multi M5-Brane Dynamics
• Mirror symmetric SU(3)-structure manifolds with NS fluxes
• Moduli Stabilization in Type IIB Orientifolds (II)
• Brane world effective actions for D-branes with fluxes
• An Open String Landscape
• RR photons
• Emergent Gravity from Noncommutative Spacetime
• Mirror symmetry for open strings
• Non-perturbative and Flux superpotentials for Type I strings on the Z_3 orbifold
• Stable D-branes, calibrations and generalized Calabi-Yau geometry
• Moduli Stabilization in Type IIB Orientifolds (I)
• Instantons and infinite distances
• *-Trek II: *_n Operations, Open Wilson Lines and the Seiberg-Witten Map
• Moduli stabilization from magnetic fluxes in type I string theory
• Supersymmetric (non-)Abelian Bundles in the Type I and SO(32) Heterotic String
• Effective Action and Soft Supersymmetry Breaking for Intersecting D-brane Models
• The D5-brane effective action and superpotential in N=1 compactifications
• Deformations of calibrated D-branes in flux generalized complex manifolds
• BPS states and algebras from quivers
• Quantum moduli space of Chern-Simons quivers, wrapped D6-branes and AdS4/CFT3
• The effective action of type II Calabi-Yau orientifolds
• Branes on Generalized Calibrated Submanifolds
• Twistor Approach to String Compactifications: a Review
• Kaluza-Klein bundles and manifolds of exceptional holonomy
• Non-Perturbative Corrections and Modularity in N=1 Type IIB Compactifications
• A Note on Compactifications on Spin(7)-Holonomy Manifolds
• Brane Effective Actions, Kappa-Symmetry and Applications
• Supersymmetric Branes on AdS_5 x Y^{p,q} and their Field Theory Duals
• Branes at angles, torons, stability and supersymmetry
• A chiral cascade via backreacting D7-branes with flux
• The effective action of D6-branes in N=1 type IIA orientifolds
• T-duality with H-flux: non-commutativity, T-folds and G x G structure
• An Orientifold with Fluxes and Branes via T-duality
• D-Branes, Holonomy and M-Theory
• The N=1 effective actions of D-branes in Type IIA and IIB orientifolds
• AdS${}_3$ solutions with exceptional supersymmetry
• Open String Wavefunctions in Warped Compactifications
• D6-branes and torsion
• Topological Charge of U(1) Instantons
• Supergravity Instantons for N=2 Hypermultiplets
• Coisotropic D8-branes and Model-building
• Noncommutative 't Hooft Instantons
• A Stringy Test of Flux-Induced Isometry Gauging
• Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
• Infinite Distances and the Axion Weak Gravity Conjecture
• Space-Time Foam From Non-Commutative Instantons
• Non-Linear Electrodynamics in Curved Backgrounds
• A Note on Flux Induced Superpotentials in String Theory
• Chiral Symmetry Breaking with non-SUSY D7-branes in ISD backgrounds
• The CP(n) Model on Noncommutative Plane
• Generalized Kaehler Potentials from Supergravity
• Symmetry-breaking vacua and baryon condensates in AdS/CFT
• Nonlinear N=2 Supersymmetry, Effective Actions and Moduli Stabilization
• The Geometry of D-Brane Superpotentials
• On J-equation
• Supercritical deformed Hermitian-Yang-Mills equation
• The effective action of D-branes in Calabi-Yau orientifold compactifications
• Magnetic fluxes and moduli stabilization
• The open story of the magnetic fluxes
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Holographic Gauge Mediation
• Adding flavour to the Polchinski-Strassler background
• Gauge thresholds in the presence of oblique magnetic fluxes
• Chiral matter wavefunctions in warped compactifications
• Open string wavefunctions in flux compactifications
• TASI lectures on complex structures
• Euclidean D-branes in Type IIB string theory on Calabi-Yau threefolds
• Conifold Transitions and Five-Brane Condensation in M-Theory on Spin(7) Manifolds
• The Generalized Green-Schwarz Mechanism for Type IIB Orientifolds with D3- and D7-Branes
• Supersymmetric Branes in AdS_2 x S^2 x CY_3
• On D-brane moduli stabilisation
• Superstring Orientifolds with Torsion: O5 Orientifolds of Torus Fibrations and their Massless Spectra
• Noncommutative Monopole from Nonlinear Monopole
• Electrified branes
• D-Branes and N=1 Supersymmetry
• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• D-terms on the resolved conifold
• Fluxbrane Inflation
• Calibrated cycles and T-duality
• Branes and BPS Configurations of Non-Commutative/Commutative Gauge Theories
• Fluxes, Vacua, and Tadpoles meet Landau-Ginzburg and Fermat
• Instantons, Quivers and Noncommutative Donaldson-Thomas Theory
• Minimal Surfaces and Weak Gravity
• Non-geometric fluxes as supergravity backgrounds
• IIB supergravity on manifolds with SU(4) structure and generalized geometry
• Modified pure spinors and mirror symmetry
• Holographic gauge mediation via strongly coupled messengers
• Deformed Hermitian Yang-Mills connections, extended gauge group and scalar curvature
• Open G2 Strings
• T-branes and ${\alpha }^{\prime }$-corrections
• Scalar and vector mesons of flavor chiral symmetry breaking in the Klebanov-Strassler background
• Runaway in the Landscape
• Supergravity description of spacetime instantons
• Gauge sector statistics of intersecting D-brane models
• Variations on stability
• Towards mirror symmetry à la SYZ for generalized Calabi-Yau manifolds
• Baryonic Condensates on the Conifold
• On the Equivalence between Noncommutative and Ordinary Gauge Theories
• Supersymmetric D-branes in the D1-D5 background
• Mirror symmetry without corrections
• Holomorphic line bundles on projective toric manifolds from Lagrangian sections of their mirrors by SYZ transformations
• On Heterotic Vacua with Fermionic Expectation Values
• Non-linear Yang-Mills instantons from strings are $\pi$-stable D-branes
• Non-perturbative transitions among intersecting-brane vacua
• Moduli stabilization with non-geometric fluxes -- comments on tadpole contributions and de-Sitter vacua
• Freedom and Constraints in the K3 Landscape
• Type IIB flux compactifications with $h^{1,1}=0$
• On Supersymmetric D7-branes in the Warped Deformed Conifold
• Tachyon condensation and D-branes in generalized geometries
• The space of almost calibrated $(1,1)$ forms on a compact Kähler manifold
• Symmetry Origin of Nonlinear Monopole
• Supersymmetric SU(5) GUT with Stabilized Moduli
• New instabilities for non-supersymmetric AdS${}_4$ orientifold vacua
• Chiral global embedding of Fibre Inflation with $\overline{D3}$ uplift
• Supersymmetric M5-branes with H-field
• Geometric Constructions of Two Dimensional (0,2) SUSY Theories
• Diagonal D-branes in product spaces and their Penrose limits
• Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections
• Five-brane Instantons vs Flux-induced Gauging of Isometries
• Branes as Stable Holomorphic Line Bundles On the Non-Commutative Torus
• D7 Moduli Stabilization: The Tadpole Menace
• Calabi-Yau manifolds from noncommutative Hermitian U(1) instantons
• Isotropic A-branes and the stability condition
• Mirror Symmetry in Emergent Gravity
• Highly Effective Action from Large N Gauge Fields
• Intersecting Noncommutative D-branes and Baryons in Magnetic Fields
• Calibrated Geometries and Non Perturbative Superpotentials in M-Theory
• General classical solutions in the noncommutative CP^(N-1) model
• Flux Compactification of M-theory on Compact Manifolds with Spin(7) Holonomy
• 4D effective action from non-Abelian DBI action with magnetic flux background
• From N=2 in four dimensions to (0,2) in two dimensions
• Emerging Non-Anomalous Baryonic Symmetries in the AdS_5/CFT_4 Correspondence
• Quantized Kähler Geometry and Quantum Gravity
• Mirror of volume functionals on manifolds with special holonomy
• Brane Potentials and Moduli Spaces
• Supersymmetric branes and instantons on curved spaces
• Kappa symmetry, generalized calibrations and spinorial geometry
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• Flux vacua in type IIB compactifications on orbifolds: their finiteness and minimal string coupling
• Non-Factorizable Branes on the Torus
• Calabi-Yau Manifolds, Hermitian Yang-Mills Instantons and Mirror Symmetry
• Forbidden territories in the string landscape
• Upper bound on the Atiyah-Singer index from tadpole cancellation
• M-theory Supertubes with Three and Four Charges
• Deformed $G_2$-instantons on ${\mathbb{R}}^4\times S^3$
• DHYM connections on higher rank holomorphic vector bundles over $\mathbb{P}(T_{{\mathbb{P}}^2})$
• Examples of dHYM connections in a variable background
• Topological DBI actions and nonlinear instantons
• On Chiral Mesons in AdS/CFT
• Examples of deformed Spin(7)-instantons/Donaldson-Thomas connections
• A monotonicity formula for minimal connections
• Explicit abelian instantons on $S^1$-invariant Kähler Einstein $6$-manifolds
• Dynamical Tadpoles and Weak Gravity Constraints