Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories
High Energy Physics - Theory
2011-01-17 v1 Strongly Correlated Electrons
Algebraic Geometry
Abstract
We identify Moore-Read wavefunctions, describing non-abelian statistics in fractional quantum Hall systems, with the instanton partition of N=2 superconformal quiver gauge theories at suitable values of masses and \Omega-background parameters. This is obtained by extending to rational conformal field theories the SU(2) gauge quiver/Liouville field theory duality recently found by Alday-Gaiotto-Tachikawa. A direct link between the Moore-Read Hall -body wavefunctions and Z_n-equivariant Donaldson polynomials is pointed out.
Keywords
Cite
@article{arxiv.1002.5017,
title = {Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories},
author = {Raoul Santachiara and Alessandro Tanzini},
journal= {arXiv preprint arXiv:1002.5017},
year = {2011}
}
Comments
5 pages, 4 figures