We consider supersymmetric matrix Hamiltonians. The existence of a zero-energy bound state, in particular for the 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 . Moreover, it would be unique. Other values of , 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.
@article{SEDP_1998-1999____A13_0, author = {Graf, Gian Michele}, title = {Ground states of supersymmetric matrix models}, journal = {S\'eminaire \'Equations aux d\'eriv\'ees partielles (Polytechnique) dit aussi "S\'eminaire Goulaouic-Schwartz"}, note = {talk:13}, pages = {1--8}, publisher = {Centre de math\'ematiques Laurent Schwartz, \'Ecole polytechnique}, year = {1998-1999}, zbl = {1055.81603}, mrnumber = {1721331}, language = {fr}, url = {http://www.numdam.org/item/SEDP_1998-1999____A13_0/} }
TY - JOUR AU - Graf, Gian Michele TI - Ground states of supersymmetric matrix models JO - Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" N1 - talk:13 PY - 1998-1999 SP - 1 EP - 8 PB - Centre de mathématiques Laurent Schwartz, École polytechnique UR - http://www.numdam.org/item/SEDP_1998-1999____A13_0/ LA - fr ID - SEDP_1998-1999____A13_0 ER -
%0 Journal Article %A Graf, Gian Michele %T Ground states of supersymmetric matrix models %J Séminaire Équations aux dérivées partielles (Polytechnique) dit aussi "Séminaire Goulaouic-Schwartz" %Z talk:13 %D 1998-1999 %P 1-8 %I Centre de mathématiques Laurent Schwartz, École polytechnique %U http://www.numdam.org/item/SEDP_1998-1999____A13_0/ %G fr %F SEDP_1998-1999____A13_0
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. http://www.numdam.org/item/SEDP_1998-1999____A13_0/
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