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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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