zbMATH — the first resource for mathematics

Instantons on noncommutative \(\mathbb{R}^4\), and \((2,0)\) superconformal six dimensional theory. (English) Zbl 0923.58062
Summary: We show that the resolution of the moduli space of ideal instantons parametrizes the instantons on noncommutative \(\mathbb{R}^4\). This moduli space appears to be the Higgs branch of the theory of \(k\) \(D0\)-branes bound to \(N\) \(D4\)-branes by the expectation value of the \(B\) field. It also appears as a regularized version of the target space of supersymmetric quantum mechanics arising in the light cone description of \((2,0)\) superconformal theories in six dimensions.

58Z05 Applications of global analysis to the sciences
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81Q60 Supersymmetry and quantum mechanics
46L85 Noncommutative topology
46L87 Noncommutative differential geometry
Full Text: DOI arXiv