Octonionic twists for supermembrane matrix models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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22 pages

Scientific paper

10.1007/s00023-009-0411-2

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.

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