In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.

Bianchi, M., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories. JOURNAL OF HIGH ENERGY PHYSICS, 2016(9) [10.1007/JHEP09(2016)009].

The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories

MAURI, ANDREA;PENATI, SILVIA
Penultimo
;
2016

Abstract

In three dimensional N= 4 Chern-Simons-matter theories two independent fermionic Wilson loop operators can be defined, which preserve half of the supersymmetry charges and are cohomologically equivalent at classical level. We compute their three-loop expectation value in a convenient color sector and prove that the degeneracy is uplifted by quantum corrections. We expand the matrix model prediction in the same regime and by comparison we conclude that the quantum 1/2 BPS Wilson loop is the average of the two operators. We provide an all-loop argument to support this claim at any order. As a by-product, we identify the localization result at three loops as a correction to the framing factor induced by matter interactions. Finally, we comment on the quantum properties of the non-1/2 BPS Wilson loop operator defined as the difference of the two fermionic ones.
Articolo in rivista - Articolo scientifico
Chern-Simons Theories; Matrix Models; Wilson, ’t Hooft and Polyakov loops; High Energy Physics - Theory; High Energy Physics - Theory; Nuclear and High Energy Physics
English
Bianchi, M., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). The quantum 1/2 BPS Wilson loop in N= 4 Chern-Simons-matter theories. JOURNAL OF HIGH ENERGY PHYSICS, 2016(9) [10.1007/JHEP09(2016)009].
Bianchi, M; Griguolo, L; Leoni, M; Mauri, A; Penati, S; Seminara, D
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/145650
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