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- W3125317040 abstract "We study the realization of conformal symmetry in the quantum Hall effect (QHE) as part of the W∞ algebra. Conformal symmetry can be realized already at the classical level and implies the complexification of coordinate space. Its quantum version is not unitary. Nevertheless, it can be rendered unitary by a suitable modification of its definition which amounts to taking proper care of the quantum measure. The consequences of unitarity for the Chern-Simons theory of the QHE are also studied, showing the connection of nonunitarity with anomalies. Finally, we discuss the geometrical paradox of realizing conformal transformations as area-preserving diffeomorphisms." @default.
- W3125317040 created "2021-02-01" @default.
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- W3125317040 date "1996-05-10" @default.
- W3125317040 modified "2023-09-25" @default.
- W3125317040 title "UNITARITY OF THE REALIZATION OF CONFORMAL SYMMETRY IN THE QUANTUM HALL EFFECT" @default.
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- W3125317040 doi "https://doi.org/10.1142/s0217751x96001048" @default.
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