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, 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.

Surface operators in 5d gauge theories and duality relations

Ashok, S. K.;Billò, M.;Dell’Aquila, E.;Frau, M.;Lerda, A.
2018-01-01

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, 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.
2018
2018
5
1
40
http://link.springer.com/journal/13130
Chern-Simons Theories, Nonperturbative Effects, Supersymmetric Gauge Theory, Supersymmetry and Duality
Ashok, S.K.; Billò, M.; Dell’Aquila, E.; Frau, M.; Gupta, V.; John, R.R.; Lerda, A.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2318/1669995
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