Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories

Details Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories Moore-Read Fractional Quantum Hall wavefunctions and SU(2) quiver gauge theories

2010-02-26

arxiv.org/abs/1002.5017v1

Phys.Rev.D82:126006,2010

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, 4 figures

Scientific paper

10.1103/PhysRevD.82.126006

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 $n$-body wavefunctions and Z_n-equivariant Donaldson polynomials is pointed out.

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