Moduli Space Dynamics of Noncommutative U(2) Instantons

Abstract

We consider the low energy dynamics of charge two instantons on noncommutative ${\mathbb{R}}_{NC}^2\times {\mathbb{R}}_{NC}^2$ in U(2) 5-dimensional super-Yang-Mills, using the Manton approximation for slow-moving instantons to calculate the moduli space metric. By employing the ADHM construction, we are able to understand some aspects of the geometry and topology of the system. We also consider the effect of adding a potential to the moduli space, giving scattering results for noncommutative dyonic instantons.

38 pages, 17 figures. v3: corrections. Accepted for publication in JHEP

References in corpus (3)

• TASI Lectures on Solitons
• Maximally Non-Abelian Vortices from Self-dual Yang--Mills Fields
• Non-Abelian Vortices in Condensed Matter Physics