Existence of the D0-D4 Bound State: a detailed Proof

Physics – Mathematical Physics

Scientific paper

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Scientific paper

We consider the supersymmetric quantum mechanical system which is obtained by
dimensionally reducing d=6, N=1 supersymmetric gauge theory with gauge group
U(1) and a single charged hypermultiplet. Using the deformation method and
ideas introduced by Porrati and Rozenberg, we present a detailed proof of the
existence of a normalizable ground state for this system.

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