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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.

MSC:
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
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