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arXiv · 1712.06946

Surface operators in 5d gauge theories and duality relations

S. K. Ashok·M. Billo·E. Dell'Aquila·M. Frau·V. Gupta·R. R. John·A. Lerda
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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.

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S. K. Ashok, M. Billo, E. Dell'Aquila, M. Frau, V. Gupta, R. R. John, A. Lerda. 2018-06-13. Surface operators in 5d gauge theories and duality relations. https://doi.org/10.1007/jhep05(2018)046

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