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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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harvmac, 21 page; refs added, more details on Nahm's transform, formulae for abelian instantons corrected

Scientific paper

10.1007/s002200050490

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.

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