https://doi.org/10.1140/epjc/s10052-019-6866-5
Regular Article - Theoretical Physics
Surface operators in
SQCD and Seiberg Duality
1
Institute of Mathematical Sciences, Homi Bhabha National Institute (HBNI), IV Cross Road, C. I. T. Campus, Taramani, Chennai, 600113, Tamil Nadu, India
2
Dipartimento di Fisica, Università di Torino, Via P. Giuria 1, 10125, Torino, Italy
3
I. N. F. N.-sezione di Torino, Via P. Giuria 1, 10125, Torino, Italy
* e-mail: renjan.rajan@to.infn.it
Received:
12
February
2019
Accepted:
6
April
2019
Published online:
30
April
2019
We study half-BPS surface operators in supersymmetric asymptotically conformal gauge theories in four dimensions with SU(N) gauge group and 2N fundamental flavours using localization methods and coupled 2d/4d quiver gauge theories. We show that contours specified by a particular Jeffrey–Kirwan residue prescription in the localization analysis map to particular realizations of the surface operator as flavour defects. Seiberg duality of the 2d/4d quivers is mapped to contour deformations of the localization integral which in this case involves a residue at infinity. This is reflected as a modified Seiberg duality rule that shifts the Lagrangian of the purported dual theory by non-perturbative terms. The new rules, that depend on the 4d gauge coupling, lead to a match between the low energy effective twisted chiral superpotentials for any pair of dual 2d/4d quivers.
© The Author(s), 2019