Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$

Abstract

We study the strong coupling behaviour of $1/4$-BPS circular Wilson loops (a family of "latitudes") in $\mathcal{N}=4$ Super Yang-Mills theory, computing the one-loop corrections to the relevant classical string solutions in AdS${}_5\times$S${}^5$. Supersymmetric localization provides an exact result that, in the large 't Hooft coupling limit, should be reproduced by the sigma-model approach. To avoid ambiguities due to the absolute normalization of the string partition function, we compare the $ratio$ between the generic latitude and the maximal 1/2-BPS circle: Any measure-related ambiguity should simply cancel in this way. We use Gel'fand-Yaglom method to calculate the relevant functional determinants, that present some complications with respect to the standard circular case. After a careful numerical evaluation of our final expression we still find disagreement with the localization answer: The difference is encoded into a precise "remainder function". We comment on the possible origin and resolution of this discordance.

References added, comments in introduction and conclusions added, it matches published version

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• String corrections to circular Wilson loop and anomalies
• Quiver CFT at strong coupling
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• Wilson loops in circular quiver SCFTs at strong coupling
• Zeta-function Regularization of Holographic Wilson Loops
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• Toward Precision Holography in Type IIA with Wilson Loops
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• Higher Rank ABJM Wilson Loops from Matrix Models
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• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
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• Minimal area surfaces in AdS_{n+1} and Wilson loops
• Functional Determinants of Radial Operators in $Ad{S}_2$
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• Dual conformal transformations of smooth holographic Wilson loops
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
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• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
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• On regularizing the AdS superstring worldsheet
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• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory