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arXiv · 0910.3870

Spiky membranes

Maciej Trzetrzelewski
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Abstract

We study spiky configurations of membranes in the SO(d)xSU(N) invariant matrix models. A class of exact solutions (analogous to plane-waves) of the corresponding Schroedinger equation for an arbitrary N is discussed. If the large N limit is performed so that the energy scales like N^2, the N=infinity wavefunctions reduce to the ground state of the d-dimensional harmonic oscillator.

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Maciej Trzetrzelewski. 2009-10-20. Spiky membranes. https://doi.org/10.1016/j.physletb.2010.01.023

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