Noncommutative Monopole at the Second Order in θ

Abstract

We study the noncommutative U(2) monopole solution at the second order in the noncommutativity parameter θ^{ij}. We solve the BPS equation in noncommutative super Yang-Mills theory to O(θ^2), transform the solution to the commutative description by the Seiberg-Witten (SW) map, and evaluate the eigenvalues of the scalar field. We find that, by tuning the free parameters in the SW map, we can make the scalar eigenvalues precisely reproduce the configuration of a tilted D-string suspended between two parallel D3-branes. This gives an example of how the ambiguities inevitable in the higher order SW map are fixed by physical requirements.

18 pages, 2 eps figures, LaTeX2e; typos corrected

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• Deformed Nahm Equation and a Noncommutative BPS Monopole
• Noncommutative Monopole from Nonlinear Monopole
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Cited by in corpus (22)

• Seiberg--Witten Maps to All Orders
• Seiberg-Witten Transforms of Noncommutative Solitons
• Second order expansions of action functionals of noncommutative gauge theories
• Particle-like solutions to classical noncommutative gauge theory
• Noncommutative Monopoles and Riemann-Hilbert Problems
• The Seiberg-Witten Map for a Time-dependent Background
• Towards an explicit expression of the Seiberg-Witten map at all orders
• Deformed BPS Monopole in Omega-background
• Symmetry Origin of Nonlinear Monopole
• The U(1)A anomaly in noncommutative SU(N) theories
• The Seiberg-Witten Map for Noncommutative Gauge Theories
• Noncommutative Dirac quantization condition using the Seiberg-Witten map
• Duality in non-commutative gauge theories as a non-perturbative Seiberg-Witten map
• Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations
• Seiberg-Witten equations from Fedosov deformation quantization of endomorphism bundle
• Superpartner Solutions of a BPS Monopole in Noncommutative Space
• Monopoles, noncommutative gauge theories in the BPS limit and some simple gauge groups
• Non-Linear/Non-Commutative Non-Abelian Monopoles
• The dyon charge in noncommutative gauge theories
• Magnetic Monopoles in Noncommutative Space-Time: Second Order of Perturbation
• The Peculiarity of a Negative Coordinate Axis in Dyonic Solutions of Noncommutative N=4 Super Yang-Mills
• Noncommutative Relativistic U(N) Chern-Simons Solitons