Abstract
We study half-BPS surface operators in 5d \( \mathcal{N} \) = 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, we 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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Ashok, S.K., Billò, M., Dell’Aquila, E. et al. Surface operators in 5d gauge theories and duality relations. J. High Energ. Phys. 2018, 46 (2018). https://doi.org/10.1007/JHEP05(2018)046
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DOI: https://doi.org/10.1007/JHEP05(2018)046