title: Exact microscopic wave function for a topological quantum membrane.
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 noncommutative algebra on the four sphere. Our approach introduces a nonperturbative method to quantize topological membranes.
authors.affiliation: Department of Physics, McCullough Building, Stanford University, Stanford, California 94305-4045, USA.
authors.forename: Shou-Cheng
authors.initials: SC
authors.lastname: Zhang