Ground states of supersymmetric matrix models

Gian Michele Graf[1]

  • [1] Theoretische Physik, ETH-Hönggerberg, CH–8093 Zürich

Séminaire Équations aux dérivées partielles (1998-1999)

  • Volume: 1998-1999, page 1-8

Abstract

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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.

How to cite

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Graf, Gian Michele. "Ground states of supersymmetric matrix models." Séminaire Équations aux dérivées partielles 1998-1999 (1998-1999): 1-8. <http://eudml.org/doc/10963>.

@article{Graf1998-1999,
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.},
affiliation = {Theoretische Physik, ETH-Hönggerberg, CH–8093 Zürich},
author = {Graf, Gian Michele},
journal = {Séminaire Équations aux dérivées partielles},
language = {fre},
pages = {1-8},
publisher = {Centre de mathématiques Laurent Schwartz, École polytechnique},
title = {Ground states of supersymmetric matrix models},
url = {http://eudml.org/doc/10963},
volume = {1998-1999},
year = {1998-1999},
}

TY - JOUR
AU - Graf, Gian Michele
TI - Ground states of supersymmetric matrix models
JO - Séminaire Équations aux dérivées partielles
PY - 1998-1999
PB - Centre de mathématiques Laurent Schwartz, École polytechnique
VL - 1998-1999
SP - 1
EP - 8
AB - 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.
LA - fre
UR - http://eudml.org/doc/10963
ER -

References

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