The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling

Abstract

We compute the one-loop correction to the probe D3-brane action in AdS5 x S5 expanded around the classical Drukker-Fiol solution ending on a circle at the boundary. It is given essentially by the logarithm of the one-loop partition function of an Abelian $\mathcal{N}=4$ vector multiplet in AdS2 x S2 geometry. This one-loop correction is expected to describe the subleading 1/N term in the expectation value of circular Wilson loop in the totally symmetric rank k representation in SU(N) SYM theory at strong coupling. In the limit k << N when the circular Wilson loop expectation values for the symmetric representation and for the product of k fundamental representations are expected to match we find that this one-loop D3-brane correction agrees with the gauge theory result for the k-fundamental case.

arXiv comment20 pages; v2: reference added, misprints corrected; v3: minor corrections, reference added

References in corpus (34)

• String Theory and Noncommutative Geometry
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Heat kernel expansion: user's manual
• Bubbling AdS space and 1/2 BPS geometries
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Wilson Loops and Minimal Surfaces
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Holographic Wilson Loops
• On the eigenfunctions of the Dirac operator on spheres and real hyperbolic spaces
• All-genus calculation of Wilson loops using D-branes
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• Universality of Quantum Entropy for Extreme Black Holes
• Logarithmic Corrections to N=4 and N=8 Black Hole Entropy: A One Loop Test of Quantum Gravity
• On gravitational description of Wilson lines
• Wilson Loops as D3-Branes
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Higher rank Wilson loops from a matrix model
• The Heat Kernel Expansion on a Cone and Quantum Fields Near Cosmic Strings
• Bubbling Geometries for Half BPS Wilson lines
• Wilson Loops in N=4 SYM and Fermion Droplets
• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• The Spectrum of Excitations of Holographic Wilson Loops
• Cones, Spins and Heat Kernels
• Wilson loops in SYM theory: from weak to strong coupling
• Exact results for Wilson loops in arbitrary representations
• One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
• On the D3-brane description of some 1/4 BPS Wilson loops
• More about One-Loop Effective Action of Open Superstring in $Ad{S}_5\times S^5$
• Semi-classical open string corrections and symmetric Wilson loops
• Effective actions with fixed points, (error in derivation of coefficient corrected)
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Heat Kernels on the AdS(2) cone and Logarithmic Corrections to Extremal Black Hole Entropy
• Heat Kernel for Simply-Connected Riemann Surfaces

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• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Localization and AdS/CFT Correspondence
• One-loop Structure of Higher Rank Wilson Loops in AdS/CFT
• Toward precision holography with supersymmetric Wilson loops
• 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 at large $N$ and the quantum M2 brane
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Zeta-function Regularization of Holographic Wilson Loops
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Symmetric Wilson Loops beyond leading order
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Deep Inelastic Scattering in the Exponentially Small Bjorken Parameter Regime from the Holographic Softwall Model
• Higher Rank ABJM Wilson Loops from Matrix Models
• Semiclassical $p$-branes in hyperbolic space
• Vortex loop operators and quantum M2-branes
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Wilson loops in $\mathcal{N}=4$ $SO(N)$ SYM and D-Branes in $Ad{S}_5\times {\mathbb{RP}}^5$
• Quantum corrections to minimal surfaces with mixed three-form flux
• Heat kernels on cone of $Ad{S}_2$ and $k$-wound circular Wilson loop in $Ad{S}_5\times S^5$ superstring
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• Wilson Loops for M2- and M5-brane spaces
• On regularizing the AdS superstring worldsheet
• A Study of confinement for $Q\bar{Q}$ potentials on D3, M2 & M5 branes
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory
• $1/N$ correction in holographic Wilson loop from quantum gravity
• Borel Summation and Analytic Continuation of the Heat Kernel on Hyperbolic Space
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops