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Large-N correlation functions in ${\cal N} = 2$ superconformal QCD

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arxiv 1610.07612 v1 pith:OOGN44ZU submitted 2016-10-24 hep-th

Marco Baggio , Vasilis Niarchos , Kyriakos Papadodimas , Gideon Vos This is my paper · ORCID
classification hep-th
keywords functionslarge-norderresultschiralcorrelationcouplinggiven
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We study extremal correlation functions of chiral primary operators in the large-N SU(N) ${\cal N} = 2$ superconformal QCD theory and present new results based on supersymmetric localization. We discuss extensively the basis-independent data that can be extracted from these correlators using the leading order large-N matrix model free energy given by the four-sphere partition function. Special emphasis is given to single-trace 2- and 3-point functions as well as a new class of observables that are scalars on the conformal manifold. These new observables are particular quadratic combinations of the structure constants of the chiral ring. At weak 't Hooft coupling we present perturbative results that, in principle, can be extended to arbitrarily high order. We obtain closed-form expressions up to the first subleading order. At strong coupling we provide analogous results based on an approximate Wiener-Hopf method.

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Cited by 3 Pith papers

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  1. Extremal Correlators and Random Matrix Theory

    hep-th 2019-08 conditional novelty 7.0 of 10

    Extremal correlators in rank-1 N=2 SCFTs are governed at large charge by a Wishart-Laguerre random matrix model, whose 't Hooft expansion reproduces effective field theory and predicts strong-coupling nonperturbative ...

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    hep-th 2025-05 conditional novelty 6.0 of 10

    Two-point correlators of chiral/anti-chiral operators in SU(N) N=2 gauge theories with a non-zero beta function, computed by Feynman diagrams in flat space, match sphere-localization matrix model results exactly throu...

  3. Analytical and numerical routes to strong coupling in $\mathcal{N}=2$ SCFTs

    hep-th 2025-05 accept novelty 6.0 of 10

    The authors derive the first subleading strong-coupling corrections for twisted Wilson loop correlators and an integrated correlator in the planar N=2 quiver gauge theory, and introduce a numerical integral-equation m...

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