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Chiral correlators in $\mathcal{N}=2$ superconformal quivers

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arxiv 2012.15792 v1 pith:VEIITVJ7 submitted 2020-12-31 hep-th

classification hep-th
keywords mathcaltheoryfieldcalculationschiralsuperconformalalgorithmallows
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We consider a family of $\mathcal{N}=2$ superconformal field theories in four dimensions, defined as $\mathbb{Z}_q$ orbifolds of $\mathcal{N}=4$ Super Yang-Mills theory. We compute the chiral/anti-chiral correlation functions at a perturbative level, using both the matrix model approach arising from supersymmetric localisation on the four-sphere and explicit field theory calculations on the flat space using the $\mathcal{N}=1$ superspace formalism. We implement a highly efficient algorithm to produce a large number of results for finite values of $N$, exploiting the symmetries of the quiver to reduce the complexity of the mixing between the operators. Finally the interplay with the field theory calculations allows to isolate special observables which deviate from $\mathcal{N}=4$ only at high orders in perturbation theory.

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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Long-range to the Rescue of Yang-Baxter II

    hep-th 2025-07 conditional novelty 6.0 of 10

    A long-range Bethe ansatz produces four-magnon eigenstates, recursively built from three-magnon data, for the one-loop spin chain of a marginally deformed Z2 orbifold of N=4 SYM.

  2. Correlators in non-conformal $\mathcal{N}=2$ gauge theories from localization

    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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