Spiky membranes

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.

16 pages, 1 figure

References in corpus (4)

• Membranes and Matrix Models
• Large N behavior of two dimensional supersymmetric Yang-Mills quantum mechanics
• Asymptotic Factorisation of the Ground-State for SU(N)-invariant Supersymmetric Matrix-Models
• On the Construction of Zero Energy States in Supersymmetric Matrix Models IV

Cited by in corpus (5)

• Gauge symmetry and Virasoro algebra in quantum charged rigid membrane -- a first order formalism
• Towards the Ground State of the Supermembrane
• Solutions of D=2 supersymmetric Yang-Mills quantum mechanics with SU(N) gauge group
• Dirac membrane and hadrons
• Investigations In Higher Derivative Field Theories