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.

Moore-Read Fractional Quantum Hall wave functions and SU(2) quiver gauge theories / Santachiara, R.; Tanzini, A.. - In: PHYSICAL REVIEW D, PARTICLES, FIELDS, GRAVITATION, AND COSMOLOGY. - ISSN 1550-7998. - 82:12(2010), pp. 1-8. [10.1103/PhysRevD.82.126006]

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

Tanzini, A.
2010-01-01

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 $n$-body wavefunctions and Z_n-equivariant Donaldson polynomials is pointed out.
2010
82
12
1
8
126006
https://doi.org/10.1103/PhysRevD.82.126006
https://arxiv.org/abs/1002.5017
Santachiara, R.; Tanzini, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/12158
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