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Octonionic twists for supermembrane matrix models

High Energy Physics - Theory 2011-11-03 v2 Mathematical Physics math.MP

Abstract

A certain G_2 times U(1) invariant Hamiltonian arising from the standard membrane matrix model via conjugating any of the supercharges by a cubic, octonionic, exponential is proven to have a spectrum covering the whole positive half-axis. The model could be useful in determining a normalizable zero-energy state in the original SO(9) invariant SU(N) matrix model.

Keywords

Cite

@article{arxiv.0803.1316,
  title  = {Octonionic twists for supermembrane matrix models},
  author = {Jens Hoppe and Douglas Lundholm and Maciej Trzetrzelewski},
  journal= {arXiv preprint arXiv:0803.1316},
  year   = {2011}
}

Comments

22 pages

R2 v1 2026-06-21T10:19:59.480Z