Non-abelian instantons on a fuzzy four-sphere

Abstract

We study the compatibility between the $BPSTSU(2)$ 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.

References in corpus (3)

• Projective modules over the fuzzy four-sphere
• Projectors, matrix models and noncommutative instantons
• Projectors, matrix models and noncommutative monopoles

Cited by in corpus (2)

• Numerical simulations of a non-commutative theory: the scalar model on the fuzzy sphere
• Noncommutative Instantons in Diverse Dimensions