Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories

Abstract

We construct for the first time Drukker-Trancanelli (DT) type fermionic Bogomolnyi-Prasad-Sommerfield (BPS) Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver theory and $\mathcal{N}=4$ super Yang-Mills theory. The connections of these fermionic BPS Wilson loops have a supermatrix structure. We construct timelike BPS Wilson lines in Minkowski spacetime and circular BPS Wilson loops in Euclidean space. These Wilson loops involve dimensionful parameters. For generic values of parameters, they preserve one real (complex) supercharge in Lorentzian (Euclidean) signature. Supersymmetry enhancement for Wilson loops happens when the parameters satisfy certain constraints. The nature of such loops is quite different from the Wilson loop operators involving fermions constructed previously in the literature on four-dimensional gauge theories. We hope that further investigations of such new Wilson loops will explore deep structures in both the gauge theories and gauge/gravity dualities.

26 pages, no figures; v2, 27 pages, no figures, typos fixed, references added, minor changes; v3 29 pages, no figures, minor revision, typos fixed, references added; v3, 29 pages, no figures,minor reversion

References in corpus (13)

• Generalized Global Symmetries
• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Supersymmetric Wilson loops on S^3
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• On gravitational description of Wilson lines
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Small deformations of supersymmetric Wilson loops and open spin-chains
• A non-renormalization theorem for chiral primary 3-point functions
• More supersymmetric Wilson loops
• 1/2-BPS Wilson Loops and Vortices in ABJM Model
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Notes on hyperloops in N=4 Chern-Simons-matter theories

Cited by in corpus (3)

• Fermionic Higher-form Symmetries
• Wilson-loop One-point Functions in ABJM Theory
• More Fermionic Supersymmetric Wilson loops in Four Dimensions