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arxiv: 0910.3870 · v1 · pith:MRR3PDPAnew · submitted 2009-10-20 · ✦ hep-th

Spiky membranes

classification ✦ hep-th
keywords membranesspikyanalogousarbitraryclassconfigurationscorrespondingd-dimensional
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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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