Existence of the D0-D4 Bound State: a detailed Proof
L. Erdos, D. Hasler, J.P. Solovej
TL;DR
This paper provides a detailed proof of the existence of a normalizable ground state in a supersymmetric quantum mechanical system derived from a six-dimensional gauge theory with a hypermultiplet, confirming the D0-D4 bound state.
Contribution
It offers a rigorous proof of the D0-D4 bound state's existence using deformation methods and prior theoretical ideas.
Findings
Confirmed the existence of a normalizable ground state.
Validated the D0-D4 bound state in the specified supersymmetric system.
Enhanced understanding of bound states in supersymmetric quantum mechanics.
Abstract
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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