Surface operators in 5d gauge theories and duality relations

Abstract

We study half-BPS surface operators in 5d N=1 gauge theories compactified on a circle. Using localization methods and the twisted chiral ring relations of coupled 3d/5d quiver gauge theories, we calculate the twisted chiral superpotential that governs the infrared properties of these surface operators. We make a detailed analysis of the localization integrand, and by comparing with the results from the twisted chiral ring equations obtain constraints on the 3d and 5d Chern-Simons levels so that the instanton partition function does not depend on the choice of integration contour. For these values of the Chern-Simons couplings, we comment on how the distinct quiver theories that realize the same surface operator are related to each other by Aharony-Seiberg dualities.

39 pages. v2: A few sentences rephrased, references added, and typos corrected. Matches version published in JHEP

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• Phases of five-dimensional supersymmetric gauge theories
• Surface operators, dual quivers and contours
• Chiral rings for surface operators in 4d and 5d SQCD
• Effective Gravitational Couplings of Kaluza-Klein Gauge Theories