Surface operators, dual quivers and contours

Abstract

We study half-BPS surface operators in four dimensional N=2 SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as coupled 2d/4d quiver gauge theories with an SU(N) flavour symmetry. In this description, the same surface operator can be described by different quivers that are related to each other by two dimensional Seiberg duality. We argue that these dual quivers correspond, on the localization side, to distinct integration contours that can be determined by the Fayet-Iliopoulos parameters of the two dimensional gauge nodes. We verify the proposal by mapping the solutions of the twisted chiral ring equations of the 2d/4d quivers onto individual residues of the localization integrand.

arXiv comment42 pages. v2: Sections 4 and 5 partially restructured in order to describe in a more compact ad unified way the association of contours to quivers

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Cited by in corpus (6)

• Superconformal surfaces in four dimensions
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Surface Defects from Fractional Branes -- I
• Surface Operators in Superspace
• More Holographic M5 branes in $Ad{S}_7\times S^4$
• Modular properties of surface operators in N=2 SQCD