English

Zero Energy States for SU(N): A Simple Exercise in Group Theory ?

High Energy Physics - Theory 2007-05-23 v2

Abstract

We show that the requirement of S3×Spin(d)S_3\times Spin(d) invariance for a ``asymptotically free'' SU(3)-Cartan subalgebra wave-function does {\em not} give a unique candidate for a SU(3)-invariant zero energy state of the d=9 supersymmetric matrix model - nor does it rule out the existence of such a state in the case d=3. For d=9 we explicitly construct various S3×Spin(9)S_3\times Spin(9)-invariant wave-functions.}

Keywords

Cite

@article{arxiv.hep-th/9909191,
  title  = {Zero Energy States for SU(N): A Simple Exercise in Group Theory ?},
  author = {M. Bordemann and J. Hoppe and R. Suter},
  journal= {arXiv preprint arXiv:hep-th/9909191},
  year   = {2007}
}

Comments

9 pages, latex2e with amssymb, latexsym, amsmath, amsfonts; minor corrections, note added