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arxiv 1807.06316 v2 pith:FDUYC6RQ submitted 2018-07-17 hep-th

Surface operators, dual quivers and contours

classification hep-th
keywords dimensionalquiverssurfacegaugelocalizationoperatorscontoursdual
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We study half-BPS surface operators in four dimensional N=2 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.

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  1. Defects, nested instantons and comet shaped quivers

    hep-th 2019-07 unverdicted novelty 7.0

    Proposes comet-shaped quiver gauge theories for surface defects with nested instantons in 4D gauge theories on T^2 × T*C_{g,k} and gives conjectural explicit formulae for the virtual equivariant elliptic genus of bund...