Dp-D(p+4) in Noncommutative Yang-Mills

Abstract

An anti-self-dual instanton solution in Yang-Mills theory on noncommutative ${\mathbb{R}}^4$ with an anti-self-dual noncommutative parameter is constructed. The solution is constructed by the ADHM construction and it can be treated in the framework of the IIB matrix model. In the IIB matrix model, this solution is interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane dissolved in the worldvolume of the D(p+4)-branes. The solution has a parameter that characterises the size of the instanton. The zero of this parameter corresponds to the singularity of the moduli space. At this point, the solution is continuously connected to another solution which can be interpreted as a system of a Dp-brane and D(p+4)-branes, with the Dp-brane separated from the D(p+4)-branes. It is shown that even when the parameter of the solution comes to the singularity of the moduli space, the gauge field itself is non-singular. A class of multi-instanton solutions is also constructed.

16 pages. v2 eq.(3.28) and typos corrected, ref. added v3 extended to 25 pages including various examples and explanations v4 misleading comments on the instanton position are corrected

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Cited by in corpus (25)

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• Calculating the Prepotential by Localization on the Moduli Space of Instantons
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• Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
• Elongated U(1) Instantons on Noncommutative R^4
• Non-commutative (D)-instantons
• String solitons in the M5-brane worldvolume with a Nambu-Poisson structure and Seiberg-Witten map
• Domain wall solitons and Hopf algebraic translational symmetries in noncommutative field theories
• Noncommutative U(1) Instantons in Eight Dimensional Yang-Mills Theory
• Reverse Engineering ADHM Construction from Non-Commutative Instantons
• Noncommutative Deformation of Instantons
• Eight Dimensional Noncommutative Instantons and D0-D8 Bound States with B-field
• BPS Solutions of Noncommutative Gauge Theories in Four and Eight Dimensions
• Instantons in N=1/2 Super Yang-Mills Theory via Deformed Super ADHM Construction
• Noncommutative Deformation of Spinor Zero Mode and ADHM Construction
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• ADHM Construction of Noncommutative Instantons
• On the ADHM construction of noncommutative U(2) k-instanton
• Hermitian-Einstein metrics from noncommutative $U\left(1\right)$ instantons
• Noncommutative Cohomological Field Theories and Topological Aspects of Matrix models
• Moduli Space Dynamics of Noncommutative U(2) Instantons