Supersymmetric Wilson loops

Abstract

I construct 1/16, 1/8 and 1/4 BPS Wilson loops in N=4 supersymmetric Yang-Mills theory and argue that expectation values of 1/4 BPS loops do not receive quantum corrections. At strong coupling, non-renormalization of supersymmetric Wilson loops implies subtle cancellations in the partition function of the AdS string with special boundary conditions. The cancellations are shown to occur in the semiclassical approximation.

16 pages; v2: misprints corrected; v3: comments on superconformal invariance and a reference added, version to be published in Nucl. Phys. B; v4: discussion of N=2 supersymmetric Wilson loops corrected

References in corpus (9)

• Semiclassical quantization of rotating superstring in AdS_5 x S^5
• N=2 Gauge theories on systems of fractional D3/D7 branes
• More exact predictions of SUSYM for string theory
• Wilson loops in SYM theory: from weak to strong coupling
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Two Loops to Two Loops in N=4 Supersymmetric Yang-Mills Theory
• Limiting Geometries of Two Circular Maldacena-Wilson Loop Operators
• Gross-Ooguri Phase Transition at Zero and Finite Temperature: Two Circular Wilson Loop Case
• String Breaking from Ladder Diagrams in SYM Theory

Cited by in corpus (135)

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• A supermatrix model for N=6 super Chern-Simons-matter theory
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• Supersymmetric Wilson loops on S^3
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Generalized quark-antiquark potential at weak and strong coupling
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Small deformations of supersymmetric Wilson loops and open spin-chains
• Integrable Wilson loops
• Localization of the four-dimensional N=4 SYM to a two-sphere and 1/8 BPS Wilson loops
• 1/2-BPS states in M theory and defects in the dual CFTs
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Analytic Solution of Bremsstrahlung TBA
• Loop operators and S-duality from curves on Riemann surfaces
• New supersymmetric Wilson loops in ABJ(M) theories
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
• 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
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• Analytic Solution of Bremsstrahlung TBA II: Turning on the Sphere Angle
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• Wavy Wilson Line and AdS/CFT
• Quark-antiquark potential in AdS at one loop
• Notes on supersymmetric Wilson loops on a two-sphere
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• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Wilson Loops in N=2 Superconformal Yang-Mills Theory
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• Localization and AdS/CFT Correspondence
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• Correlators of supersymmetric Wilson loops at weak and strong coupling
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Wilson loops in Five-Dimensional Super-Yang-Mills
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• Properties of Chiral Wilson Loops
• The 1/2 BPS Wilson loop in ABJM theory at two loops
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• Wilson loops and minimal area surfaces in hyperbolic space
• On 1/2-BPS Wilson-'t Hooft loops
• String corrections to circular Wilson loop and anomalies
• On non-supersymmetric generalizations of the Wilson-Maldacena loops in N=4 SYM
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
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• Defect CFT techniques in the 6d $\mathcal{N}=(2,0)$ theory
• Chern-Simons theory from M5-branes and calibrated M2-branes
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• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
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• Circular Wilson loops in defect Conformal Field Theory
• The Bremsstrahlung function of $\mathcal{N}=2$ SCQCD
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• Semiclassical Analysis of M2-brane in AdS_4 x S^7 / Z_k
• New open string solutions in AdS_5
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• Emitted Radiation and Geometry
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
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• A Holographic Kaleidoscope for $\mathcal{N}=1^{\ast }$
• M2-doughnuts
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