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arXiv · hep-th/0511035

Non-abelian instantons on a fuzzy four-sphere

P. Valtancoli
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Abstract

We study the compatibility between the $BPST SU(2)$ 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 $S^4$. We also propose to extend the non-trivial second Chern class with the five-dimensional noncommutative Chern-Simons term.

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P. Valtancoli. 2005-11-03. Non-abelian instantons on a fuzzy four-sphere. https://doi.org/10.1088/0305-4470%2F39%2F20%2F030

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