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.
Cite
@article{arxiv.1712.06946,
title = {Surface operators in 5d gauge theories and duality relations},
author = {S. K. Ashok and M. Billo and E. Dell'Aquila and M. Frau and V. Gupta and R. R. John and A. Lerda},
journal= {arXiv preprint arXiv:1712.06946},
year = {2019}
}
Comments
39 pages. v2: A few sentences rephrased, references added, and typos corrected. Matches version published in JHEP