Supersymmetric Wilson loops at two loops

Abstract

We study the quantum properties of certain BPS Wilson loops in $\mathcal{N}=4$ supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on $S^3$ with a fraction of supersymmetry. When restricted to $S^2$, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM${}_2$ on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.

35 pages, 14 figures, typos corrected, references added

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Cited by in corpus (39)

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• New supersymmetric Wilson loops in ABJ(M) theories
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• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
• The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines
• Notes on supersymmetric Wilson loops on a two-sphere
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• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
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• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
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• Toward precision holography with supersymmetric Wilson loops
• BPS Wilson Loops on S^2 at Higher Loops
• Correlators of supersymmetric Wilson loops at weak and strong coupling
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Supersymmetric Wilson loops in N=4 SYM and pure spinors
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills
• Deformations of the circular Wilson loop and spectral (in)dependence
• Dressed Wilson Loops on S^2
• Impure Aspects of Supersymmetric Wilson Loops
• Torus knot polynomials and susy Wilson loops
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Quantum 't Hooft loops of SYM N=4 as instantons of YM_2 in dual groups SU(N) and SU(N)/Z_N
• Supersymmetric Wilson loops in two dimensions and duality
• On a discrete symmetry of the Bremsstrahlung function in N=4 SYM
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• More on 't Hooft loops in N=4 SYM