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SciPost Phys. 14 (2023) 008                        arXiv: 2205.01348

Fermionic Bogomolǹyi-Prasad-Sommerfield Wilson loops in four-dimensional N = 2 superconformal gauge theories

Hao Ouyang1, Jun-Bao Wu2, 3, *

1 Center for Theoretical Physics and College of Physics, Jilin University, Changchun 130012, P. R. China

2 Center for Joint Quantum Studies and Department of Physics, School of Science, Tianjin University, 135 Yaguan Road, Tianjin 300350, P. R. China

3 Peng Huangwu Center for Fundamental Theory, Hefei, Anhui 230026, P. R. China



We construct for the first time Drukker-Trancanelli (DT) type fermionic Bogomolǹyi-Prasad-Sommerfield (BPS) Wilson loops in four-dimensional N = 2 superconformal SU(N) × SU(N) quiver theory and 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.


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