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

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 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.

arXiv comment5 pages, 4 figures

References in corpus (21)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Topologically-Protected Qubits from a Possible Non-Abelian Fractional Quantum Hall State
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• $2n$ Quasihole States Realize $2^{n-1}$-Dimensional Spinor Braiding Statistics in Paired Quantum Hall States
• Non-Abelian adiabatic statistics and Hall viscosity in quantum Hall states and p_x+ip_y paired superfluids
• Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
• Fractional Quantum Hall States and Jack Polynomials
• Measurement of filling factor 5/2 quasiparticle interference: observation of charge e/4 and e/2 period oscillations
• A Chern-Simons Effective Field Theory for the Pfaffian Quantum Hall State
• On AGT relation in the case of U(3)
• Multi-Instanton Calculus and Equivariant Cohomology
• An Algorithm for the Microscopic Evaluation of the Coefficients of the Seiberg-Witten Prepotential
• Fractional Quantum Hall Effect via Holography: Chern-Simons, Edge States, and Hierarchy
• Recursion relations in CFT and N=2 SYM theory
• On AGT conjecture
• Hitchin systems, N=2 gauge theories and W-gravity
• Properties of Non-Abelian Fractional Quantum Hall States at Filling $\nu =\frac{k}{r}$
• Landau-Ginzburg Theories for Non-Abelian Quantum Hall States
• Relating Jack wavefunctions to WA_{k-1} theories
• Matrix Effective Theories of the Fractional Quantum Hall effect

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