All-genus calculation of Wilson loops using D-branes

Abstract

The standard prescription for calculating a Wilson loop in the AdS/CFT correspondence is by a string world-sheet ending along the loop at the boundary of AdS. For a multiply wrapped Wilson loop this leads to many coincident strings, which may interact among themselves. In such cases a better description of the system is in terms of a D3-brane carrying electric flux. We find such solutions for the single straight line and the circular loop. The action agrees with the string calculation at small coupling and in addition captures all the higher genus corrections at leading order in alpha'. The resulting expression is in remarkable agreement with that found from a zero dimensional Gaussian matrix model.

29 pages, LeTeX, one colour figure. v2: citation corrected. v3: minor typo

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Cited by in corpus (185)

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• Bubbling Defect CFT's
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• Bubbling Surface Operators And S-Duality
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• Anomalous Dimensions from a Spinning D5-Brane
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• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
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• Gravity and On-Shell Probe Actions
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• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
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• Correlator of Fundamental and Anti-symmetric Wilson Loops in AdS/CFT Correspondence
• Confining k-string tensions with D-Branes in Super Yang-Mills theories
• Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories
• Holographic Wilson Lines as Screened Impurities
• Quantum Broadening of k-Strings from the AdS/CFT Correspondence
• Ironing out the crease
• Worldsheet traversable wormholes
• Semi-classical correlator for 1/4 BPS Wilson loop and chiral primary operator with large R-charge
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Supersymmetric Wilson Loops via Integral Forms
• Holographic Description of Glueball and Baryon in Noncommutative Dipole Gauge Theory
• Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Supersymmetric Wilson Loops, Instantons, and Deformed $\mathcal{W}$-Algebras
• Probing AdS/QCD backgrounds with semi-classical strings
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality
• Ladder exponentiation for generic large symmetric representation Wilson loops
• On BPS Strings in $\mathcal{N}=4$ Yang-Mills Theory
• Comments on Higher Rank Wilson Loops in $\mathcal{N}=2^{\ast }$
• $\mathcal{N}=4$ line defect correlators of type BCD
• D-brane Description of New Open String Solutions in AdS(5)
• Operator with large spin and spinning D3-brane
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• 't Hooft Operators on an Interface and Bubbling D5-Branes
• A tunneling picture of dual giant Wilson loop
• QCD, with Strings Attached
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
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• Dyonic D3 branes
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• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
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• Holographic Wilson Loop One-point Functions in ABJM Theory