Unitarity of The Realization of Conformal Symmetry in The Quantum Hall Effect

Simple item page
dc.creatorGaite, Jose
dc.date1994-03-16
dc.date1995-04-07
dc.date.accessioned2026-07-07T12:03:46Z
dc.date.available2026-07-07T12:03:46Z
dc.descriptionWe study the realization of conformal symmetry in the QHE as part of the $W_\infty$ 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 non-unitarity with anomalies. Finally, we discuss the geometrical paradox of realizing conformal transformations as area preserving diffeomorphisms.
dc.description17 pages, LaTeX, section added on unitarity of Chern-Simons theory and anomalies, general improvement
dc.identifierhttps://arxiv.org/abs/hep-th/9403092
dc.identifierhttp://arxiv.org/abs/hep-th/9403092
dc.identifierInt.J.Mod.Phys.A11:2065-2080,1996
dc.identifierdoi:10.1142/S0217751X96001048
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207904
dc.subjectHigh Energy Physics - Theory
dc.subjectCondensed Matter
dc.titleUnitarity of The Realization of Conformal Symmetry in The Quantum Hall Effect
dc.typetext

Files

Collections

arXiv