Classification of quantum Hall universality classes byW1+∞symmetry

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Classification of Quantum Hall Universality Classes by W 1 + ∞ symmetry

We show how two-dimensional incompressible quantum fluids and their excitations can be viewed as W1+∞ edge conformal field theories, thereby providing an algebraic characterization of incompressibility. The Kac-Radul representation theory of the W1+∞ algebra leads then to a purely algebraic complete classification of hierarchical quantum Hall states, which encompasses all measured fractions. Sp...

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ژورنال

عنوان ژورنال: Physical Review Letters

سال: 1994

ISSN: 0031-9007

DOI: 10.1103/physrevlett.72.1902