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

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 Ω-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.

preprint2010arXivOpen access
Raoul SantachiaraAlessandro Tanzini
cond-mat.str-elmath.AGhep-th
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Raoul SantachiaraAlessandro Tanzini

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