CONSTRUCTION OF NONCOMMUTATIVE INSTANTONS IN 4k DIMENSIONS

@article{Broedel2008CONSTRUCTIONON,
  title={CONSTRUCTION OF NONCOMMUTATIVE INSTANTONS IN 4k DIMENSIONS},
  author={Johannes Broedel and T. Ivanova and O. Lechtenfeld},
  journal={Modern Physics Letters A},
  year={2008},
  volume={23},
  pages={179-189}
}
We consider generalized self-duality equations for U(2r) Yang–Mills theory on ℝ4k with quaternionic structure and self-dual Moyal deformation. We employ the extended ADHM method in 4k dimensions to construct new noncommutative generalizations of the 't Hooft as well as of the BPST instantons. It is shown that in the commutative limit the BPST-type configurations coincide with the standard instantons on ℍPk written in local coordinates. 
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