Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp.

Bianchi, M., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). Framing and localization in Chern-Simons theories with matter. JOURNAL OF HIGH ENERGY PHYSICS, 2016(6) [10.1007/JHEP06(2016)133].

Framing and localization in Chern-Simons theories with matter

BIANCHI, MARCO STEFANO;MAURI, ANDREA
;
PENATI, SILVIA;
2016

Abstract

Abstract: Supersymmetric localization provides exact results that should match QFT computations in some regularization scheme. The agreement is particularly subtle in three dimensions where complex answers from localization procedure sometimes arise. We investigate this problem by studying the expectation value of the 1/6 BPS Wilson loop in planar ABJ(M) theory at three loops in perturbation theory. We reproduce the corresponding term in the localization result and argue that it originates entirely from a non-trivial framing of the circular contour. Contrary to pure Chern-Simons theory, we point out that for ABJ(M) the framing phase is a non-trivial function of the couplings and that it potentially receives contributions from vertex-like diagrams. Finally, we briefly discuss the intimate link between the exact framing factor and the Bremsstrahlung function of the 1/2-BPS cusp.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Chern-Simons Theories; Supersymmetric gauge theory; Wilson; ’t Hooft and Polyakov loops;
AdS-CFT Correspondence, Chern-Simons Theories, Supersymmetric gauge theory, Wilson ’t Hooft and Polyakov loops
English
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Bianchi, M., Griguolo, L., Leoni, M., Mauri, A., Penati, S., Seminara, D. (2016). Framing and localization in Chern-Simons theories with matter. JOURNAL OF HIGH ENERGY PHYSICS, 2016(6) [10.1007/JHEP06(2016)133].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/120789
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