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Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories

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abstract

We consider conformal N=2 super Yang-Mills theories with gauge group SU(N) and Nf=2N fundamental hypermultiplets in presence of a circular 1/2-BPS Wilson loop. It is natural to conjecture that the matrix model which describes the expectation value of this system also encodes the one-point functions of chiral scalar operators in presence of the Wilson loop. We obtain evidence of this conjecture by successfully comparing, at finite N and at the two-loop order, the one-point functions computed in field theory with the vacuum expectation values of the corresponding normal-ordered operators in the matrix model. For the part of these expressions with transcendentality zeta(3), we also obtain results in the large-N limit that are exact in the 't Hooft coupling lambda.

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hep-th 1

years

2025 1

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CONDITIONAL 1

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

hep-th · 2025-05-06 · conditional · novelty 6.0

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 through two loops for generic matter representations.

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  • Correlators in non-conformal $\mathcal{N}=2$ gauge theories from localization hep-th · 2025-05-06 · conditional · none · ref 9 · internal anchor

    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 through two loops for generic matter representations.