Abstract
We complete the program of [1] about perturbative approaches for mathcal{N} = 2 superconformal quiver theories in four dimensions. We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization. We compute Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops and one-point functions of chiral operators in presence of them acting as superconformal defects. We extend this analysis to the most general case considering chiral operators and multiple Wilson loops scattered in all the possible ways among the vector multiplets of the quiver. Finally, we identify twisted and untwisted observables which probe the orbifold of AdS5 × S5 with the aim of testing possible holographic perspectives of quiver theories in mathcal{N} = 2.
Highlights
Wilson loops and chiral operators in superconformal quiversWe define some special combinations of the operators (2.5) and (2.2) originally introduced in [44, 65]
We consider several classes of observables in presence of Wilson loops, and we evaluate them with the help of supersymmetric localization
We compute Wilson loop vacuum expectation values, correlators of multiple coincident Wilson loops and one-point functions of chiral operators in presence of them acting as superconformal defects
Summary
We define some special combinations of the operators (2.5) and (2.2) originally introduced in [44, 65] They correspond to twisted and untwisted sectors of the Aq−1 quiver theories for local operators: q. For a given quiver with q nodes, one can define a single untwisted operator and q twisted ones that are even and odd respectively under gauge group exchange. They enjoy good transformation properties under the orbifold action of Zq, and they represent the ideal variables for holographic perspectives in N = 2 context. In this paper we extend that analysis to one-point functions of local operators (2.5) and (2.6) in presence of a Wilson loop defect for the Aq−1 theories. We generalize the localization techniques to the Aq−1 theories case, establishing a connection between the gauge theory correlators above and some corresponding correlation functions in a multi-matrix model
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