Ground states of supersymmetric matrix models
Graf, Gian Michele1
1 Theoretische Physik, ETH-Hönggerberg, CH–8093 Zürich
Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 13, 8 p.

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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.

Graf, Gian Michele 1

1 Theoretische Physik, ETH-Hönggerberg, CH–8093 Zürich 
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Graf, Gian Michele. Ground states of supersymmetric matrix models. Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" (1998-1999), Exposé no. 13, 8 p. https://geodesic-test.mathdoc.fr/item/SEDP_1998-1999____A13_0/