On Exact Noncommutative BPS Solitons

Abstract

We construct new exact BPS solitons in various noncommutative gauge theories by the ``gauge'' transformation of known BPS solitons. This ``gauge'' transformation introduced by Harvey, Kraus and Larsen adds localized solitons to the known soliton. These solitons include, for example, the bound state of a noncommutative Abelian monopole and N fluxons at threshold. This corresponds, in superstring theories, to a D-string which attaches to a D3-brane and N D-strings which pierce the D3-brane, where all D-strings are parallel to each other.

18 pages, LaTeX, 2 figures; v3: minor changes, comments added, references added; v4: version to appear in JHEP

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• Noncommutative Field Theory
• Introduction to M(atrix) theory and noncommutative geometry
• Introduction to M(atrix) theory and noncommutative geometry, Part II
• Noncommutative Vortex Solitons
• Integrable Noncommutative Sine-Gordon Model
• Soliton-Antisoliton Scattering Configurations in a Noncommutative Sigma Model in 2+1 Dimensions
• Noncommutative Solitons and D-branes
• Seiberg-Witten Transforms of Noncommutative Solitons
• Noncommutative Extended Waves and Soliton-like Configurations in N=2 String Theory
• Supersymmetry, Spectrum and Fate of D0-Dp Systems with B-field
• ADHM/Nahm Construction of Localized Solitons in Noncommutative Gauge Theories
• Noncommutative Chern-Simons Solitons
• Strings between branes
• Moduli Space and Scattering of D0-Branes in Noncommutative Super Yang-Mills Theory
• Solitons in 2+1 Dimensional Non-Commutative Maxwell Chern-Simons Higgs Theories
• Noncommutative Monopoles and Riemann-Hilbert Problems
• Fluxons and Exact BPS Solitons in Non-Commutative Gauge Theory
• New BPS Solitons in 2+1 Dimensional Noncommutative CP^1 Model
• On Noncommutative Merons and Instantons
• Noncommutative solitons on Kahler manifolds
• Lost equivalence of nonlinear sigma and $C{P}^1$ models on noncommutative space
• Are Vortex Numbers Preserved?
• Reverse Engineering ADHM Construction from Non-Commutative Instantons
• Magnetic Monopole in Noncommutative Space-Time and Wu-Yang Singularity-Free Gauge Transformations
• Soliton on Noncommutative Orbifold $T^2/Z_k$
• Soliton Solutions on Noncommutative Orbifold $ T^2/Z_4
• Projector Equivalences in K theory and Families of Non-commutative Solitons
• Magnetic Monopoles in Noncommutative Space-Time: Second Order of Perturbation
• Tachyon Condensation of D2/D4-Brane System in Noncommutative Gauge Theory