Octonionic twists for supermembrane matrix models

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.

22 pages

References in corpus (10)

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Cited by in corpus (3)

• Towards the Ground State of the Supermembrane
• On the groundstate of octonionic matrix models in a ball
• Massless ground state for a compact SU(2) matrix model in 4D