Abelian Hall Fluids and Edge States: a Conformal Field Theory Approach

We show that a Coulomb gas Vertex Operator representation of 2D Conformal Field Theory gives a complete description of abelian Hall fluids: as an euclidean theory in two space dimensions leads to the construction of the ground state wave function for planar and toroidal geometry and characterizes th...

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Bibliographic Details
Published in:arXiv.org 1995-05
Main Authors: De Martino, A, Musto, R
Format: Article
Language:English
Subjects:
Euclidean geometry
Field theory
Operators (mathematics)
Online Access:Get full text
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Summary:We show that a Coulomb gas Vertex Operator representation of 2D Conformal Field Theory gives a complete description of abelian Hall fluids: as an euclidean theory in two space dimensions leads to the construction of the ground state wave function for planar and toroidal geometry and characterizes the spectrum of low energy excitations; as a \(1+1\) Minkowski theory gives the corresponding dynamics of the edge states. The difference between a generic Hall fluid and states of the Jain's sequences is emphasized and the presence, in the latter case, of of an \(\hat {U}(1)\otimes \hat {SU}(n)\) extended algebra and the consequent propagation on the edges of a single charged mode and \(n-1\) neutral modes is discussed.
ISSN:2331-8422
DOI:10.48550/arxiv.9505027