Exact microscopic wave function for a topological quantum membrane

Shou-Cheng Zhang

doi:10.1103/physrevlett.90.196801

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Exact microscopic wave function for a topological quantum membrane

Shou-Cheng Zhang

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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.

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Shou-Cheng Zhang. 2002-10-28. Exact microscopic wave function for a topological quantum membrane. https://doi.org/10.1103/physrevlett.90.196801

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