English

Non-abelian instantons on a fuzzy four-sphere

High Energy Physics - Theory 2009-11-11 v1

Abstract

We study the compatibility between the BPSTSU(2)BPST SU(2) instanton and the fuzzy four-sphere algebra. By using the projective module point of view as an intermediate step, we are able to identify a non-commutative solution of the matrix model equations of motion which minimally extends the SU(2) instanton solution on the classical sphere S4S^4. We also propose to extend the non-trivial second Chern class with the five-dimensional noncommutative Chern-Simons term.

Keywords

Cite

@article{arxiv.hep-th/0511035,
  title  = {Non-abelian instantons on a fuzzy four-sphere},
  author = {P. Valtancoli},
  journal= {arXiv preprint arXiv:hep-th/0511035},
  year   = {2009}
}