Exact microscopic wave function for a topological quantum membrane
Mesoscale and Nanoscale Physics
2009-11-07 v1 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
The higher dimensional quantum Hall liquid constructed recently supports stable topological membrane excitations. Here we introduce a microscopic interacting Hamiltonian and present its exact ground state wave function. We show that this microscopic ground state wave function describes a topological quantum membrane. We also construct variational wave functions for excited states using the non-commutative algebra on the four sphere. Our approach introduces a non-perturbative method to quantize topological membranes.
Cite
@article{arxiv.cond-mat/0210604,
title = {Exact microscopic wave function for a topological quantum membrane},
author = {Shou-Cheng Zhang},
journal= {arXiv preprint arXiv:cond-mat/0210604},
year = {2009}
}