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On Zero-Mass Bound States in Super-Membrane Models

1996/09/30 by Jens Hoppe, Hoppe, Jens
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th

paper · pdf · doi:10.48550/arxiv.hep-th/9609232

6 pages Latex

arxiv created 1996/09/30 · arxiv updated 2009/11/30

Abstract

For the simplest case of a supermembrane matrix model, various symmetry reductions are given, with the fermionic contribution(s) (to an effective Schrödinger equation) corresponding to an attractive δ-function potential (towards zero-area configurations). The differential equations are real, and are shown not to admit square-integrable real solutions (even when allowing non-vanishing boundary conditions at infinity). Complex solutions, however, are not excluded by this argument.

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