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Correlators in superconformal quivers made QUICK

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arxiv 2212.14823 v1 pith:3UTFPLV5 submitted 2022-12-30 hep-th

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

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abstract

In this paper we conclude the program of 2012.15792 and 2105.00257 about perturbative approaches for $\mathcal{N}=2$ superconformal quiver theories in 4D. We consider several classes of observables that involve multitrace local operators and Wilson loops scattered in all the possible ways among the quiver. We evaluate them exploiting the multi-matrix model arising from supersymmetric localisation and we generalise the solution to both $SU(N)$ and $U(N)$ cases. Moreover, we provide QUICK (QUIver Correlator Kit) a Wolfram Mathematica package designed to automatise the perturbative solution of the $A_{q-1}$ multi-matrix model for all the observables mentioned above. Given the interpolating nature of the superconformal quiver theories $A_{q-1}$, the package is an efficient tool to compute correlators also in SCQCD, $\mathcal{N}=4$ SYM and its $\mathbb{Z}_q$ orbifolds. This manuscript includes a user guide and some pedagogical examples.

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  1. 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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