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Séminaire Équations aux dérivées partielles (Polytechnique)

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Gian Michele Graf
Ground states of supersymmetric matrix models
Séminaire Équations aux dérivées partielles (Polytechnique) (1998-1999), Exp. No. 13, 8 p.
Article PDF | Analyses MR 1721331 | Zbl 1055.81603

Résumé - Abstract

We consider supersymmetric matrix Hamiltonians. The existence of a zero-energy bound state, in particular for the $d=9$ model, is of interest in M-theory. While we do not quite prove its existence, we show that the decay at infinity such a state would have is compatible with normalizability (and hence existence) in $d=9$. Moreover, it would be unique. Other values of $d$, where the situation is somewhat different, shall also be addressed. The analysis is based on a Born-Oppenheimer approximation. This seminar is based on joint work with J. Fröhlich, D. Hasler, J. Hoppe and S.-T. Yau.

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