Surface operators in 5d gauge theories and duality relations

Autor: S. K. Ashok, M. Billò, E. Dell’Aquila, M. Frau, V. Gupta, R. R. John, A. Lerda
Jazyk: angličtina
Rok vydání: 2018
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2018, Iss 5, Pp 1-39 (2018)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP05(2018)046
Popis: Abstract We study half-BPS surface operators in 5d N $$ \mathcal{N} $$ = 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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