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Quantum Hall Fluids as W 1+∞ Minimal Models

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Particles and Fields

Part of the book series: CRM Series in Mathematical Physics ((CRM))

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Abstract

We review our recent work on the algebraic characterization of quantum Hall fluids. Specifically, we explain how the incompressible quantum fluid ground states can be classified by effective edge field theories with the W 1+∞ dynamical symmetry of “quantum area-preserving diffeomorphisms.” Using the representation theory of W 1+∞ we show how all fluids with filling factors m/(pm + 1) and v = m/(pm - 1) with m and p positive integers and p even, correspond exactly to the W 1+∞ minimal models.

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Authors
  1. Andrea Cappelli
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  2. Carlo A. Trugenberger
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  3. Guillermo R. Zemba
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Editor information

Editors and Affiliations

  1. Department of Physics and Astronomy, University of British Columbia, Vancouver, British Columbia, V6T 1Z1, Canada

    Gordon Semenoff

  2. Centre de Recherches Mathématiques, Université de Montréal, Montreal, Québec, H3C 3J7, Canada

    Luc Vinet

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Cappelli, A., Trugenberger, C.A., Zemba, G.R. (1999). Quantum Hall Fluids as W 1+∞ Minimal Models. In: Semenoff, G., Vinet, L. (eds) Particles and Fields. CRM Series in Mathematical Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-1410-6_9

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  • DOI: https://doi.org/10.1007/978-1-4612-1410-6_9

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4612-7133-8

  • Online ISBN: 978-1-4612-1410-6

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