Non-commutative (D)-instantons

Abstract

We study systems of D3 and D(-1) branes in a NS-NS magnetic background and show that, when the brane configuration is stable, the physical degrees of freedom of the open strings with at least one end-point on the D-instantons describe the ADHM moduli of instantons for non-commutative gauge theories. We also prove that disk diagrams with mixed boundary conditions are the sources for the classical profile of the non-commutative gauge instantons in the singular gauge. We finally compare the string theory description in a large distance expansion with the non-commutative ADHM construction in the singular gauge and find complete agreement at perturbative level in the non-commutativity parameter.

36 pages, 3 figures, JHEP class (included); a few references added

References in corpus (35)

• String Theory and Noncommutative Geometry
• Noncommutative Field Theory
• Noncommutative Geometry and Matrix Theory: Compactification on Tori
• Bound States Of Strings And $p$-Branes
• Small Instantons in String Theory
• Noncommutative Open String and D-brane
• D-branes and Deformation Quantization
• Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory
• Gauge Fields and D-branes
• The Calculus of Many Instantons
• Non-commutative superspace from string theory
• Constrained Quantization of Open String in Background B Field and Noncommutative D-brane
• Noncommutative Superspace, N=1/2 Supersymmetry, Field Theory and String Theory
• Classical gauge instantons from open strings
• Comments on Perturbative Dynamics of Non-Commutative Yang-Mills Theory
• Dirac Quantization of Open Strings and Noncommutativity in Branes
• Instantons on Noncommutative R^4 and Projection Operators
• Branes within Branes
• Renormalization of noncommutative U(N) gauge theories
• D-branes as Solitons of an N=1, D=10 Non-commutative Gauge Theory
• More on Mixed Boundary Conditions and D-branes Bound States
• D-instanton induced interactions on a D3-brane
• Comma Vertex and String Field Algebra
• Topological Charge of U(1) Instantons
• N=1/2 gauge theory and its instanton moduli space from open strings in R-R background
• Noncommutative 't Hooft Instantons
• Notes on Noncommutative Instantons
• Dp-D(p+4) in Noncommutative Yang-Mills
• Multiloop String Amplitudes with B-Field and Noncommutative QFT
• N=1/2 quiver gauge theories from open strings with R-R fluxes
• Noncommutative instantons revisited
• Boundary Conditions, Supersymmetry and A-field Coupling for an Open String in a B-field Background
• Comments on Noncommutative ADHM Construction
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Multiloop Noncommutative Open String Theory and their QFT limit

Cited by in corpus (14)

• Stringy Instantons at Orbifold Singularities
• Instantons in N=2 magnetized D-brane worlds
• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Fluxed M5-instantons in F-theory
• ADHM is Tachyon Condensation
• Non-perturbative transitions among intersecting-brane vacua
• Closed string deformations in open string field theory III: $\mathcal{N}=2$ worldsheet localization
• Surface Defects from Fractional Branes -- II
• N=2 Instanton Calculus In Closed String Background
• UV/IR Mixing in Noncommutative Field Theories and Open Closed String Duality
• Surface Defects from Fractional Branes -- I
• N=4 Instanton Calculus in Omega and R-R Backgrounds
• Classification of BPS equations in higher dimensions
• Construction of Instantons via Tachyon Condensation