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BPS Wilson loops in generic conformal N=2 SU(N) SYM theories

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arxiv 1906.07085 v2 pith:FPBALFRN submitted 2019-06-17 hep-th

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

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abstract

We consider the 1/2 BPS circular Wilson loop in a generic N=2 SU(N) SYM theory with conformal matter content. We study its vacuum expectation value, both at finite $N$ and in the large-N limit, using the interacting matrix model provided by localization results. We single out some families of theories for which the Wilson loop vacuum expectation values approaches the N=4 result in the large-N limit, in agreement with the fact that they possess a simple holographic dual. At finite N and in the generic case, we explicitly compare the matrix model result with the field-theory perturbative expansion up to order g^8 for the terms proportional to the Riemann value zeta(5), finding perfect agreement. Organizing the Feynman diagrams as suggested by the structure of the matrix model turns out to be very convenient for this computation.

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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. More on phase transitions in ${\cal N}$ = 2 massive gauge theories

    hep-th 2025-07 accept novelty 7.0 of 10

    Mass deforming an N=2 superconformal theory with two different masses produces a third-order phase transition at finite 't Hooft coupling.

  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. Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper expresses connected correlators of multiply-wound Wilson loops in N=4 SYM through explicit matrix-trace formulas, including a new inverse relation verified numerically up to order eight.

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