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.

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

References in corpus (8)

• Holographic Wilson Loops
• On gravitational description of Wilson lines
• Logarithmic Corrections to Extremal Black Hole Entropy from Quantum Entropy Function
• Wilson Loops in N=4 SYM and Fermion Droplets
• The Spectrum of Excitations of Holographic Wilson Loops
• Semi-classical open string corrections and symmetric Wilson loops
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Heat Kernel for Simply-Connected Riemann Surfaces

Cited by in corpus (14)

• Wilson loops at large $N$ and the quantum M2 brane
• Quantum Corrections to Supergravity on AdS${}_2\times S^2$
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Symmetric Wilson Loops beyond leading order
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• 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 $Ad{S}_5\times {\mathbb{RP}}^5$
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• On regularizing the AdS superstring worldsheet
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• Borel Summation and Analytic Continuation of the Heat Kernel on Hyperbolic Space