Moduli Space Dynamics of Noncommutative U(2) Instantons

2015/02/24 by Andrew Iskauskas, Douglas J. Smith, Iskauskas, Andrew +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.1502.06850

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

arxiv created 2015/05/18 · arxiv updated 2015/05/19

Abstract

We consider the low energy dynamics of charge two instantons on noncommutative ℝ²_NC×ℝ²_NC 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.

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