Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories

Abstract

We present a complete two-loop analysis of the quantum expectation value for circular BPS Wilson loops in ABJ(M) theories. We examine in details the 1/2 BPS case, that requires non-trivial fermionic couplings with the contour, finding perfect agreement with the exact matrix model answer at zero framing. The result is obtained through a careful application of DRED regularization scheme, combined with a judicious rearrangement of the relevant perturbative contributions that reduces the computation to simple integrals. We carefully analyze the contribution of fermions that is crucial for the consistency with the localization procedure and point out the arising of pivotal evanescent terms, discussing their meaning in relation to Ward identities.

arXiv comment32 pages, 5 figures, Referemces added

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• ABJ Fractional Brane from ABJM Wilson Loop
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Towards the exact Bremsstrahlung function of ABJM theory
• Strings in AdS_4 x CP^3, Wilson loops in N=6 super Chern-Simons-matter and Bremsstrahlung functions
• A profusion of $1/2$ BPS Wilson loops in $\mathcal{N}=4$ Chern-Simons-matter theories
• Framing and localization in Chern-Simons theories with matter
• On the ABJM four-point amplitude at three loops and BDS exponentiation
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• String theory duals of Wilson loops from Higgsing
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
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• Marginal deformations and defect anomalies
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• Interpolating Wilson loops and enriched RG flows
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• On three-point functions in ABJM and the latitude Wilson loop
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
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• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
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• Exact results for Wilson loops in orbifold ABJM theory
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories
• Interpolating Bremsstrahlung function in ABJM
• Framing fermionic Wilson loops in ABJ(M)