Spiky membranes
High Energy Physics - Theory
2015-05-14 v1
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.
Cite
@article{arxiv.0910.3870,
title = {Spiky membranes},
author = {Maciej Trzetrzelewski},
journal= {arXiv preprint arXiv:0910.3870},
year = {2015}
}
Comments
16 pages, 1 figure