For three-dimensional N=4 super-Chern-Simons-matter theories associated to necklace quivers U(N0)×U(N1)×.U(N2r-1), we study at quantum level the two kinds of 1/2 BPS Wilson loop operators recently introduced in arXiv:1506.07614. We perform a two-loop evaluation and find the same result for the two kinds of operators, so moving to higher loops a possible quantum uplift of the classical degeneracy. We also compute the 1/4 BPS bosonic Wilson loop and discuss the quantum version of the cohomological equivalence between fermionic and bosonic Wilson loops. We compare the perturbative result with the Matrix Model prediction and find perfect matching, after identification and remotion of a suitable framing factor. Finally, we discuss the potential appearance of three-loop contributions that might break the classical degeneracy and briefly analyze possible implications on the BPS nature of these operators.

Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). Probing Wilson loops in N=4 Chern-Simons-matter theories at weak coupling. PHYSICS LETTERS. SECTION B, 753, 500-505 [10.1016/j.physletb.2015.12.018].

Probing Wilson loops in N=4 Chern-Simons-matter theories at weak coupling

MAURI, ANDREA;PENATI, SILVIA
;
2016

Abstract

For three-dimensional N=4 super-Chern-Simons-matter theories associated to necklace quivers U(N0)×U(N1)×.U(N2r-1), we study at quantum level the two kinds of 1/2 BPS Wilson loop operators recently introduced in arXiv:1506.07614. We perform a two-loop evaluation and find the same result for the two kinds of operators, so moving to higher loops a possible quantum uplift of the classical degeneracy. We also compute the 1/4 BPS bosonic Wilson loop and discuss the quantum version of the cohomological equivalence between fermionic and bosonic Wilson loops. We compare the perturbative result with the Matrix Model prediction and find perfect matching, after identification and remotion of a suitable framing factor. Finally, we discuss the potential appearance of three-loop contributions that might break the classical degeneracy and briefly analyze possible implications on the BPS nature of these operators.
Articolo in rivista - Articolo scientifico
Nuclear and High Energy Physics
English
2016
753
500
505
none
Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). Probing Wilson loops in N=4 Chern-Simons-matter theories at weak coupling. PHYSICS LETTERS. SECTION B, 753, 500-505 [10.1016/j.physletb.2015.12.018].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/101265
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