Noncommutative instantons revisited

Abstract

We find a new gauge in which U(1) noncommutative instantons are explicitly non-singular on the whole noncommutative R^4, thus resolving the previous confusions of the author. We start with the pedagogical introduction to the noncommutative gauge theories.

24pp. uses sprocl.sty

References in corpus (5)

• String Theory and Noncommutative Geometry
• Noncommutative Solitons
• Brane Configuration from Monopole Solution in Non-Commutative Super Yang-Mills Theory
• Deformed Nahm Equation and a Noncommutative BPS Monopole
• Instantons in the U(1) Born-Infeld Theory and Noncommutative Gauge Theory

Cited by in corpus (24)

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• BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and qq-characters
• On Black Holes and Cosmological Constant in Noncommutative Gauge Theory of Gravity
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• Rank Two Quiver Gauge Theory, Graded Connections and Noncommutative Vortices
• Noncommutative Ward's Conjecture and Integrable Systems
• On Reductions of Noncommutative Anti-Self-Dual Yang-Mills Equations
• Test of Emergent Gravity
• Non-commutative (D)-instantons
• Topology Change of Spacetime and Resolution of Spacetime Singularity in Emergent Gravity
• Quantization of Emergent Gravity
• D0-D4 brane tachyon condensation to a BPS state and its excitation spectrum in noncommutative super Yang-Mills theory
• Noncommutative QCD, first-order-in-theta-deformed instantons and 't Hooft vertices
• Construction of Noncommutative Instantons in 4k Dimensions
• Seiberg-Witten Geometry of Four-Dimensional $\mathcal{N}=2$ Quiver Gauge Theories
• Noncommutative Deformation of Instantons
• Noncommutative Instantons on CP^n
• A monopole solution from noncommutative multi-instantons
• Noncommutative Vortices and Instantons from Generalized Bose Operators
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• On the ADHM construction of noncommutative U(2) k-instanton
• The flux of noncommutative U(1) instanton through the fuzzy spheres
• Notes on the Dynamics of Noncommutative U(2) and Commutative SU(3) Instantons