Classification of quantum Hall universality classes by W1+∞ symmetry

A. CAPPELLI, C. A TRUGENBERGER , G. R. ZEMBA

PHYSICAL REVIEW LETTERS

AMER PHYSICAL SOC

Lugar: New York, EEUU; Año: 1994 vol. 72 p. 1902 - 1905

0031-9007

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. Spin-polarized electrons in single-layer devices can only have Abelian anyon excitations.