BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis

Self Cite

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.

Section: Jhep09(2016)009supporting

confidence: 54%

The quantum 1/2 BPS Wilson loop in N = 4 $$ \mathcal{N}=4 $$ Chern-Simons-matter theories

Bianchi

Leoni

Mauri

et al. 2016

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“…In particular, it would be very interesting to find an integrable description of some kind of generalized cusp anomalous dimension, such as the one described in [71]. This would give a direct way to test the proposals of [44,45] for the ABJM/ABJ interpolating functions, by comparison with localization results for the Brehmsstrahlung function [72][73][74][75].…”

Section: Discussionmentioning

confidence: 99%

The full Quantum Spectral Curve for AdS4/CFT3

Bombardelli

Cavaglià

Fioravanti

et al. 2017

The spectrum of planar N = 6 superconformal Chern-Simons theory, dual to type IIA superstring theory on AdS 4 × CP 3 , is accessible at finite coupling using integrability. Starting from the results of [arXiv:1403.1859], we study in depth the basic integrability structure underlying the spectral problem, the Quantum Spectral Curve. The new results presented in this paper open the way to the quantitative study of the spectrum for arbitrary operators at finite coupling. Besides, we show that the Quantum Spectral Curve is embedded into a novel kind of Q-system, which reflects the OSp(4|6) symmetry of the theory and leads to exact Bethe Ansatz equations. The discovery of this algebraic structure, more intricate than the one appearing in the AdS 5 /CFT 4 case, could be a first step towards the extension of the method to AdS 3 /CFT 2 .

“…The beautiful result above is the culmination of an impressive series of papers [23][24][25][26] (see also [27,28] [29].…”

Section: Jhep08(2018)044mentioning

confidence: 99%

Toward precision holography in type IIA with Wilson loops

Damia

Faraggi

Zayas

et al. 2018

Abstract:We study the one-loop effective action of certain classical type IIA string configurations in AdS 4 × CP 3 . These configurations are dual to Wilson loops in the N = 6 U(N ) k × U(N ) −k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.