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