Instantons on noncommutative R^4, and (2,0) superconformal six dimensional theory

TL;DR

This paper explores the moduli space of instantons on noncommutative R^4, linking it to D-brane configurations and the (2,0) superconformal theory, revealing new geometric and physical insights.

Contribution

It demonstrates that the instanton moduli space on noncommutative R^4 can be understood through D-brane bound states and as a regularized target space for (2,0) superconformal theories.

Findings

Moduli space of ideal instantons parameterizes instantons on noncommutative R^4.

This space arises as a Higgs branch of D0-D4 brane systems with B-field.

It provides a regularized target space for supersymmetric quantum mechanics in six dimensions.

Abstract

We show that the resolution of moduli space of ideal instantons parameterizes the instantons on non-commutative $\IR^{4}$. This moduli space appears as a 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.