Supersymmetric quantum-Hall effect on a fuzzy supersphere
Supersymmetric quantum-Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wave function, which is a ground state of a hard-core OSp(1/2) invariant Hamiltonian. We also present excited topological objects, which are f...
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| Published in | Physical review letters Vol. 94; no. 20; p. 206802 |
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| Main Author | |
| Format | Journal Article |
| Language | English |
| Published |
United States
27.05.2005
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| Online Access | Get more information |
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| Summary: | Supersymmetric quantum-Hall liquids are constructed on a supersphere in a supermonopole background. We derive a supersymmetric generalization of the Laughlin wave function, which is a ground state of a hard-core OSp(1/2) invariant Hamiltonian. We also present excited topological objects, which are fractionally charged deficits made by super Hall currents. Several relations between quantum-Hall systems and their supersymmetric extensions are discussed. |
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| ISSN: | 0031-9007 |
| DOI: | 10.1103/PhysRevLett.94.206802 |