Exact microscopic wave function for a topological quantum membrane

Details Exact microscopic wave function for a topological quantum membrane Exact microscopic wave function for a topological quantum membrane

2002-10-28

arxiv.org/abs/cond-mat/0210604v1

Phys.Rev.Lett. 90 (2003) 196801

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Scientific paper

10.1103/PhysRevLett.90.196801

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.

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