Four-dimensional $$\mathcal{N}$$ = 2 superconformal long circular quivers

We study four-dimensional $$\mathcal{N}$$ = 2 superconformal circular, cyclic symmetric quiver theories which are planar equivalent to $$\mathcal{N}$$ = 4 super Yang-Mills. We use localization to compute nonplanar corrections to the free energy and the circular half-BPS Wilson loop in these theories...

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Bibliographic Details
Published in:The journal of high energy physics 2024-04, Vol.2024 (4), p.1-33, Article 54
Main Authors: Beccaria, M., Korchemsky, G.P.
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Extended Supersymmetry
Matrix Models
Scale and Conformal Symmetries
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Summary:We study four-dimensional $$\mathcal{N}$$ = 2 superconformal circular, cyclic symmetric quiver theories which are planar equivalent to $$\mathcal{N}$$ = 4 super Yang-Mills. We use localization to compute nonplanar corrections to the free energy and the circular half-BPS Wilson loop in these theories for an arbitrary number of nodes, and examine their behaviour in the limit of long quivers. Exploiting the relationship between the localization quiver matrix integrals and an integrable Bessel operator, we find a closed-form expression for the leading nonplanar correction to both observables in the limit when the number of nodes and ’t Hooft coupling become large. We demonstrate that it has different asymptotic behaviour depending on how the two parameters are compared, and interpret this behaviour in terms of properties of a lattice model defined on the quiver diagram.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP04(2024)054