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Correlators in superconformal quivers made QUICK

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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.

fields

hep-th 1

years

2025 1

verdicts

ACCEPT 1

representative citing papers

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

hep-th · 2025-05-05 · accept · novelty 6.0

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 method that gives independent checks and new predictions.

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Showing 1 of 1 citing paper.

  • Analytical and numerical routes to strong coupling in $\mathcal{N}=2$ SCFTs hep-th · 2025-05-05 · accept · none · ref 32 · internal anchor

    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 method that gives independent checks and new predictions.