Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory

Abstract

We show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative $\IR^{4}$. This moduli space appears as a Higgs branch of the theory of $k$ $D0$-branes bound to $N$ $D4$-branes by the expectation value of the $B$ field. It also appears as a regularized version of the target space of supersymmetric quantum mechanics arising in the light cone description of $(2,0)$ superconformal theories in six dimensions.

harvmac, 21 page; refs added, more details on Nahm's transform, formulae for abelian instantons corrected

Cited by in corpus (328)

• Noncommutative Field Theory
• Black Hole Entropy Function, Attractors and Precision Counting of Microstates
• Noncommutative Solitons
• Vortices, Instantons and Branes
• Higher Spin Gauge Theories: Star-Product and AdS Space
• U-duality and M-Theory
• Noncommutative Manifolds the Instanton Algebra and Isospectral Deformations
• Higher-Spin Gauge Interactions for Massive Matter Fields in 3D AdS Space-Time
• Noncommutative Yang-Mills in IIB Matrix Model
• Noncommutative Geometry From Strings and Branes
• Non-Commutative Yang-Mills and the AdS/CFT Correspondence
• Quantum Foam and Topological Strings
• D3/D7 Inflationary Model and M-theory
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Introduction to M(atrix) theory and noncommutative geometry
• An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
• The One-loop UV Divergent Structure of U(1) Yang-Mills Theory on Noncommutative R^4
• Morita equivalence and duality
• M5-branes from gauge theories on the 5-sphere
• General Properties of Noncommutative Field Theories
• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• Instantons in the Higgs Phase
• Dipoles, Twists and Noncommutative Gauge Theory
• On instantons as Kaluza-Klein modes of M5-branes
• Flux tube solutions in noncommutative gauge theories
• Noncommutative Instantons and Twistor Transform
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• Instantons on Noncommutative R^4 and Projection Operators
• Matone's Relation in the Presence of Gravitational Couplings
• BPS Bound States Of D0-D6 And D0-D8 Systems In A B-Field
• Emergent Gravity from Noncommutative Spacetime
• Exact Results for 't Hooft Loops in Gauge Theories on S^4
• Gauge Theory on a Quantum Phase Space
• Multi-Domain Walls in Massive Supersymmetric Sigma-Models
• Topological strings and 5d T_N partition functions
• Multi instanton calculus on ALE spaces
• A Note on Superfields and Noncommutative Geometry
• D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory
• Towards Noncommutative Integrable Systems
• Exact Seiberg-Witten Map, Induced Gravity and Topological Invariants in Noncommutative Field Theories
• Extended Seiberg-Witten Theory and Integrable Hierarchy
• Nielsen-Olesen Vortices in Noncommutative Abelian Higgs Model
• Anti-self-dual Yang-Mills equations on noncommutative spacetime
• D-brane Construction for Non-Abelian Walls
• Axial Anomaly in Noncommutative QED on R^4
• Lectures on Branes in Curved Backgrounds
• Evidence for Winding States in Noncommutative Quantum Field Theory
• Dualities, Twists, and Gauge Theories with Non-Constant Non-Commutativity
• Ginsparg-Wilson Relation, Topological Invariants and Finite Noncommutative Geometry
• Counting Yang-Mills Dyons with Index Theorems
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
• Exact Seiberg-Witten Map and Induced Gravity from Noncommutativity
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Topological Charge of U(1) Instantons
• On The Correspondence Between Noncommuative Field Theory And Gravity
• Instantons on Gravitons
• Domain Walls with Non-Abelian Clouds
• Quiver Gauge Theory of Nonabelian Vortices and Noncommutative Instantons in Higher Dimensions
• Noncommutative Topological Theories of Gravity
• Noncommutative 't Hooft Instantons
• Monopole Bundles over Fuzzy Complex Projective Spaces
• Moduli of ADHM Sheaves and Local Donaldson-Thomas Theory
• Superpotentials From Stringy Instantons Without Orientifolds
• Noncommutative Instantons on the 4-Sphere from Quantum Groups
• Noncommutative Burgers Equation
• Emergent Spacetime and The Origin of Gravity
• Seiberg-Witten Transforms of Noncommutative Solitons
• Space-Time Foam From Non-Commutative Instantons
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Tachyon Condensation on Noncommutative Torus
• Moduli Spaces of Instantons on the Taub-NUT Space
• Five-dimensional Chern-Simons terms and Nekrasov's instanton counting
• A survey on Nahm transform
• S-Duality, Deconstruction and Confinement for a Marginal Deformation of N=4 SUSY Yang-Mills
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• The CP(n) Model on Noncommutative Plane
• Notes on Noncommutative Instantons
• Equivalence of Projections as Gauge Equivalence on Noncommutative Space
• From SO/Sp instantons to W-algebra blocks
• Non-Commutative Instantons and the Seiberg-Witten Map
• Noncommutative Ward's Conjecture and Integrable Systems
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• p-p' System with B-field, Branes at Angles and Noncommutative Geometry
• Dp-D(p+4) in Noncommutative Yang-Mills
• Calculating the Prepotential by Localization on the Moduli Space of Instantons
• Quantum Spectrum of Instanton Solitons in Five Dimensional Noncommutative U(N) Theories
• The moduli space of two U(1) instantons on noncommutative $R^4$ and $R^3\times S^1$
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Instantons and Emergent Geometry
• Adding flavour to the Polchinski-Strassler background
• Exact results for $\mathcal{N}=2$ supersymmetric gauge theories on compact toric manifolds and equivariant Donaldson invariants
• Kinky D-Strings
• Deformed Nahm Equation and a Noncommutative BPS Monopole
• Noncommutative Instantons in Higher Dimensions, Vortices and Topological K-Cycles
• Euclidean D-branes in Type IIB string theory on Calabi-Yau threefolds
• Zero Modes and the Atiyah-Singer Index in Noncommutative Instantons
• Gauge Theory on Fuzzy S^2 x S^2 and Regularization on Noncommutative R^4
• ADHM is Tachyon Condensation
• Exact Solutions of Berkovits' String Field Theory
• Quantisation of twistor theory by cocycle twist
• Factorization methods for Noncommutative KP and Toda hierarchy
• Gravitational Instantons from Gauge Theory
• Noncommutative Instantons via Dressing and Splitting Approaches
• Quantum Spacetimes and Finite N Effects in 4D Super Yang-Mills Theories
• Wilson loops in strongly coupled noncommutative gauge theories
• Noncommutative instantons revisited
• Morita Duality and Large-N Limits
• A New Deconstruction of Little String Theory
• Low-Energy Dynamics of Noncommutative CP^1 Solitons in 2+1 Dimensions
• Noncommutative Instantons on R^2_{NC} x R^2_C
• Instantons and Yang-Mills Flows on Coset Spaces
• Elongation of Moving Noncommutative Solitons
• Metamorphosis Of Tachyon Profile In Unstable D9-Branes
• Anomaly and Nonplanar Diagrams in Noncommutative Gauge Theories
• On the Twisted (2,0) and Little-String Theories
• Freckled Instantons in Two and Four Dimensions
• A Study of Structure Formation and Reheating in the D3/D7 Brane Inflation Model
• N=2 Instanton Effective Action in Omega-background and D3/D(-1)-brane System in R-R Background
• ALE spaces from noncommutative U(1) instantons via exact Seiberg-Witten map
• Adding Charges to N=4 Dyons
• On Branes and Oriented B-fields
• On HyperKahler Singularities
• Quantum differentiability on noncommutative Euclidean spaces
• Noncommutative String Theory, the R-Matrix, and Hopf Algebras
• D1/D5 System with B-field, Noncommutative Geometry and the CFT of the Higgs Branch
• Instantons, Topological Strings and Enumerative Geometry
• Branes and BPS Configurations of Non-Commutative/Commutative Gauge Theories
• Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory
• Elongated U(1) Instantons on Noncommutative R^4
• Poincare polynomial of moduli spaces of framed sheaves on (stacky) Hirzebruch surfaces
• Examples of Emergent Type IIB Backgrounds from Matrices
• Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
• Exact Wavefunctions in a Noncommutative Field Theory
• Quantum Spin Systems and Supersymmetric Gauge Theories, I
• Comments on Noncommutative ADHM Construction
• Testing Seiberg-Witten Theory to All Orders in the Instanton Expansion
• Towards A Background Independent Quantum Gravity
• The Averaged Null Energy Condition and the Black Hole Interior in String Theory
• The index of the overlap Dirac operator on a discretized 2d non-commutative torus
• Comments on Noncommutative Gauge Theories
• The BRS invariance of noncommutative U(N) Yang-Mills theory at the one-loop level
• Supersymmetric D-brane Bound States with B-field and Higher Dimensional Instantons on Noncommutative Geometry
• Non-Abelian k-Vortex Dynamics in N=1^* theory and its Gravity Dual
• Quantum deformation of quantum cosmology: A framework to discuss the cosmological constant problem
• N=2 quiver gauge theories on A-type ALE spaces
• More on the Nambu-Poisson M5-brane Theory: Scaling limit, background independence and an all order solution to the Seiberg-Witten map
• Moduli Spaces of Cold Holographic Matter
• Topological Charge of Noncommutative ADHM Instanton
• Non-Commutative Instantons and the Information Metric
• Sheaves on fibered threefolds and quiver sheaves
• Seiberg-Witten Monopole Equations on Noncommutative R^4
• Test of Emergent Gravity
• Explicit Non-Abelian Monopoles and Instantons in SU(N) Pure Yang-Mills Theory
• Yang-Mills Instantons and Dyons on Group Manifolds
• Comments on the Morita Equivalence
• Instanton Number Calculus on Noncommutative R^4
• Non-commutative (D)-instantons
• Duality and Mock Modularity
• Crystal melting on toric surfaces
• Quantum Gravity from Noncommutative Spacetime
• Noncommutative Linear Sigma Models
• Strong Coupling Effects in non-commutative spaces from OM Theory and supergravity
• An Efficient Representation of Euclidean Gravity I
• ADHM in 8d, coloured solid partitions and Donaldson-Thomas invariants on orbifolds
• Quantization of Emergent Gravity
• Blocks and Vortices in the 3d ADHM Quiver Gauge Theory
• Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity
• Branes and instantons intersecting at angles
• Time-Space Noncommutative Abelian Solitons
• Projective modules over the fuzzy four-sphere
• Hyperkahler Singularities in Superstrings Compactification and 2d N=4 Conformal Field Theory
• D1D5 System and Noncommutative Geometry
• D1-D5 on ALE Space
• Spherically symmetric monopoles in noncommutative space
• Non-perturbative transitions among intersecting-brane vacua
• Noncommutative Solitons and Quasideterminants
• Noncommutative Multi-Instantons on R^{2n} x S^2
• Noncommutative instantons from twisted conformal symmetries
• Topological Solitons in Noncommutative Plane and Quantum Hall Skyrmions
• The low energy dynamics of charge two dyonic instantons
• CP^n Model on Fuzzy Sphere
• Supersymmetry and BPS States on D4-brane in Large C-field Background
• M5/D4 brane partition function on a circle bundle
• Nonlocal Effects on D-branes in Plane-Wave Backgrounds
• Some Noncommutative Multi-instantons from Vortices in Curved Space
• New BPS Solitons in 2+1 Dimensional Noncommutative CP^1 Model
• Instanton Number of Noncommutative U(n) gauge theory
• Explicit Derivation of Yang-Mills Self-Dual Solutions on non-Commutative Harmonic Space
• Constructions of Non Commutative Instantons on $T^4$ and $K_3$
• Noncommutative solitons on Kahler manifolds
• Tetrahedron instantons
• Probability distribution of the index in gauge theory on 2d non-commutative geometry
• Hamilton-Jacobi Method and Effective Actions of D-brane and M-brane in Supergravity
• Non-BPS Solutions of the Noncommutative CP^1 Model in 2+1 Dimensions
• Twisted Bundles on Noncommutative $T^4$ and D-brane Bound States
• On Noncommutative Merons and Instantons
• Symmetry Origin of Nonlinear Monopole
• Wilson Loops in 2D Noncommutative Euclidean Gauge Theory: 1. Perturbative Expansion
• Noncommutative Moduli for Multi-Instantons
• N=2 gauge theories, instanton moduli spaces and geometric representation theory
• Worldsheet and Spacetime Properties of p-p' System with B Field and Noncommutative Geometry
• The ADHM Construction of Instantons on Noncommutative Spaces
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Deformation-obstruction theory for diagrams of algebras and applications to geometry
• Multidimensional integrable systems and deformations of Lie algebra homomorphisms
• Spin(p+1,p+1) Covariant Dp-brane Bound States
• Duality Rotations and BPS Monopoles with Space and Time Noncommutativity
• O(3) Sigma model with Hopf term on Fuzzy Sphere
• Gauge theories from D7-branes over vanishing 4-cycles
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Noncommutative Cohomological Field Theory and GMS soliton
• Bounces/Dyons in the Plane Wave Matrix Model and SU(N) Yang-Mills Theory
• Index theorem in spontaneously symmetry-broken gauge theories on a fuzzy 2-sphere
• Supersymmetric Dirac-Born-Infeld theory in noncommutative space
• Equivariant volumes of non-compact quotients and instanton counting
• Field Theory Interpretation of N=2 Stringy Instantons
• Noncommutative Self-Dual Supersymmetric Yang-Mills Theory
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• On Non Commutative Calabi-Yau Hypersurfaces
• Quasi-localized states on noncommutative solitons
• Thermofield dynamics and twisted Poincaré symmetry on Moyal space-time
• Scattering of Noncommutative (n,1) Solitons
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Bäcklund Transformations for Noncommutative Anti-Self-Dual Yang-Mills Equations
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• Propagators in Noncommutative Instantons
• Instantons on General Noncommutative R^4
• Tales of D0 on D6 Branes: Matrix Mechanics of Identical Particles
• Construction of Noncommutative Instantons in 4k Dimensions
• Mirror Symmetry in Emergent Gravity
• Condensates and instanton - torus knot duality. Hidden Physics at UV scale
• Dimensional reduction over the quantum sphere and non-abelian q-vortices
• Highly Effective Action from Large N Gauge Fields
• Noncommutative Instantons in 4k Dimensions
• NC Calabi-Yau Manifolds in Toric Varieties with NC Torus fibration
• The U(1)A anomaly in noncommutative SU(N) theories
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• The geometry of the M5-branes and TQFTs
• ADHM and the 4d Quantum Hall Effect
• Noncommutative Gauge Dynamics from Brane Configurations with Background B field
• Shifted quantum groups and matter multiplets in supersymmetric gauge theories
• Noncommutative Instantons in Diverse Dimensions
• ADHM Construction of (Anti-)Self-dual Instantons in $4n$ Dimensions
• Higher abelian gauge theory associated to gerbes on noncommutative deformed M5-branes and S-duality
• Non-Perturbative Effects on a Fractional D3-Brane
• The Matrix model and the non-commutative geometry of the supermembrane
• Non BPS noncommutative vortices
• Bäcklund Transformations and the Atiyah-Ward ansatz for Noncommutative Anti-Self-Dual Yang-Mills Equations
• Noncommutative Deformation of Instantons
• General classical solutions in the noncommutative CP^(N-1) model
• Theta functions on Noncommutative T^4
• The ADHM Variety and Perverse Coherent Sheaves
• Dual Non-Lorentzian Backgrounds for Matrix Theories
• Instanton Calculus in R-R 3-form Background and Deformed N=2 Super Yang-Mills Theory
• Gauge Theories in Noncommutative Homogeneous Kähler Manifolds
• Instanton Calculus in Deformed N=4 Super Yang-Mills Theories
• Eight Dimensional Noncommutative Instantons and D0-D8 Bound States with B-field
• Instanton Counting and Dielectric Branes
• Localization on the D-brane, two-dimensional gauge theory and matrix models
• Loop Equation and Wilson line Correlators in Non-commutative Gauge Theories
• Toric Varieties with NC Toric Actions: NC Type IIA Geometry
• Closed string deformations in open string field theory III: $\mathcal{N}=2$ worldsheet localization
• Noncommutative Instantons on CP^n
• Topics on D-brane charges with B-fields
• Black Holes Thermodynamics in a new kind of Noncommutative Geometry
• Projector Equivalences in K theory and Families of Non-commutative Solitons
• A monopole solution from noncommutative multi-instantons
• Quantized Kähler Geometry and Quantum Gravity
• Reduced Models and Noncommutative Gauge Theories
• Noncommutative Field Theories and Smooth Commutative Limits
• Projectors, matrix models and noncommutative instantons
• q-Deformed su(2) instantons by q-quaternions
• q-Quaternions and q-deformed su(2) instantons
• Noncommutative Vortices and Instantons from Generalized Bose Operators
• Non-commutative Space And Chan-Paton Algebra In Open String Field Algebra
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Ground States of Duality-twisted Sigma-Models with K3 Target Space
• A Noncommutative Deformation of Topological Field Theory
• The Fuzzy Kaehler Coset Space by the Fedosov Formalism
• Matrix Compactification On Orientifolds
• Partition functions of Supersymmetric Gauge Theories in Noncommutative R^{2D} and their Unified Perspective
• IIB Matrix Model with D1-D5 Backgrounds
• Monopoles On $S_F^2$ From The Fuzzy Conifold
• Seven-dimensional super Yang-Mills at negative coupling
• Solitons in Open N=2 String Theory
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• New dimer integrable systems and defects in five dimensional gauge theory
• Topological Charge of ADHM Instanton on R^2_{NC}*R^2
• Vortices as Instantons in Noncommutative Discrete Space: Use of $Z_2$ Coordinates
• Matrix model for noncommutative gravity and gravitational instantons
• Twisted K-theory in $g>1$ from D-branes
• Solitons of Sigma Model on Noncommutative Space as Solitons of Electron System
• Finitely-Generated Projective Modules over the Theta-deformed 4-sphere
• Towards a gauge theory interpretation of the real topological string
• Emergent Spacetime and Cosmic Inflation
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• Noncommutative Spheres and Instantons
• On the Chiral Ring of N=1 Supersymmetric Gauge Theories
• Fuzzy Conifold $Y_F^6$ and Monopoles on $S_F^2\times S_F^2$
• Noncommutative Quantum Cosmology for the FLRW model in Unimodular Gravity
• A Note on Interactions of (Non-Commutative) Instantons Via AdS/CFT
• q-Deformed quaternions and su(2) instantons
• Superconformal Quantum Mechanics and the Discrete Light-Cone Quantisation of N=4 SUSY Yang-Mills
• A Note on the Automorphism Group of the Bielawski-Pidstrygach Quiver
• Comments on the N=1 SU(M+p)xSU(p) quiver gauge theory with flavor
• NC Calabi-Yau Orbifolds in Toric Varieties with Discrete Torsion
• Noncommutative instantons on $d=2n$ planes from matrix models
• The harmonic oscillator on the Moyal-Groenewold plane: an approach via Lie groups and twisted Weyl tuples
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Celestial Quantum Error Correction I: Qubits from Noncommutative Klein Space
• On the ADHM construction of noncommutative U(2) k-instanton
• Chern-Simons Solitons, Chiral Model, and (affine) Toda Model on Noncommutative Space
• Dirichlet boundary conditions in a noncommutative theory
• Noncommutative Relativistic U(N) Chern-Simons Solitons
• Deformations of Instanton Metrics
• Dissolving D0-brane into D2-brane with background B-field
• Notes on the Dynamics of Noncommutative U(2) and Commutative SU(3) Instantons
• Intersection cohomology of the Uhlenbeck compactification of the Calogero-Moser space
• The Noncommutative Topology of Anti-Self-Dual Gauge Fields
• The flux of noncommutative U(1) instanton through the fuzzy spheres
• Drinfeld-Manin Instanton and Its Noncommutative Generalization
• On the energy crisis in noncommutative CP(1) model
• Electromagnetic Theory with Quantum Principal Bundles
• Weyl Mutations in Quiver Yangians