Abstract
In this paper we study the relationship between N -supersymmetric Yang–Mills instantons on the anti-chiral quaternionic super projective space H P 1 | N 2 and certain holomorphic super vector bundles on the complex super projective space P 3 | N . This is the so-called super ADHM construction. We prove mathematically exactly the super ADHM construction which has been given by physicists. In particular, we consider the monad theory of P 3 | N which generalized the Barth–Hulek construction.
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