Precision matching of circular Wilson loops and strings in AdS(5)xS(5)

Abstract

Previous attempts to match the exact N=4 super Yang-Mills expression for the expectation value of the 1/2-BPS circular Wilson loop with the semiclassical AdS(5)xS(5) string theory prediction were not successful at the first subleading order. There was a missing prefactor ~ lambda^(-3/4) which could be attributed to the unknown normalization of the string path integral measure. Here we resolve this problem by computing the ratio of the string partition functions corresponding to the circular Wilson loop and the special 1/4-supersymmetric latitude Wilson loop. The fact that the latter has a trivial expectation value in the gauge theory allows us to relate the prefactor to the contribution of the three zero modes of the "transverse" fluctuation operator in the 5-sphere directions.

arXiv comment21 pages

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• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• On the large R-charge $\mathcal{N}=2$ chiral correlators and the Toda equation
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Quiver CFT at strong coupling
• Wilson loops in circular quiver SCFTs at strong coupling
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Deformations of the circular Wilson loop and spectral (in)dependence
• Semiclassical $p$-branes in hyperbolic space
• Supersymmetric Wilson loops in two dimensions and duality
• Quantum corrections to minimal surfaces with mixed three-form flux
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Wilson Loops and Integrability
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory