https://doi.org/10.1140/epjc/s10052-019-6795-3
Regular Article - Theoretical Physics
Surface operators, dual quivers and contours
1
Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI), IV Cross Road, C.I.T. Campus, Taramani, Chennai, Tamil Nadu, 600113, India
2
Dipartimento di Fisica, Università di Torino, Via P. Giuria 1, 10125, Torino, Italy
3
Dipartimento di Scienze e Innovazione Tecnologica, Università del Piemonte Orientale, Viale T. Michel 11, 15121, Alessandria, Italy
4
Arnold-Regge Center and I.N.F.N.-sezione di Torino, Via P. Giuria 1, 10125, Torino, Italy
* e-mail: lerda@to.infn.it
Received:
6
February
2019
Accepted:
17
March
2019
Published online:
26
March
2019
We study half-BPS surface operators in four dimensional 
SU(N) gauge theories, and analyze their low-energy effective action on the four dimensional Coulomb branch using equivariant localization. We also study surface operators as coupled 2d/4d quiver gauge theories with an SU(N) flavour symmetry. In this description, the same surface operator can be described by different quivers that are related to each other by two dimensional Seiberg duality. We argue that these dual quivers correspond, on the localization side, to distinct integration contours that can be determined by the Fayet-Iliopoulos parameters of the two dimensional gauge nodes. We verify the proposal by mapping the solutions of the twisted chiral ring equations of the 2d/4d quivers onto individual residues of the localization integrand.
© The Author(s), 2019
