Toward precision holography with supersymmetric Wilson loops

Abstract

We consider certain 1/4 BPS Wilson loop operators in SU(N) $\mathcal{N}=4$ supersymmetric Yang-Mills theory, whose expectation value can be computed exactly via supersymmetric localization. Holographically, these operators are mapped to fundamental strings in AdS5 x S5. The string on-shell action reproduces the large N and large coupling limit of the gauge theory expectation value and, according to the AdS/CFT correspondence, there should also be a precise match between subleading corrections to these limits. We perform a test of such match at next-to-leading order in string theory, by deriving the spectrum of quantum fluctuations around the classical string solution and by computing the corresponding 1-loop effective action. We discuss in detail the supermultiplet structure of the fluctuations. To remove a possible source of ambiguity in the ghost zero mode measure, we compare the 1/4 BPS configuration with the 1/2 BPS one, dual to a circular Wilson loop. We find a discrepancy between the string theory result and the gauge theory prediction, confirming a previous result in the literature. We are able to track the modes from which this discrepancy originates, as well as the modes that by themselves would give the expected result.

5 pages; v2: 43 pages, long version fixing a mistake and altering the conclusions

References in corpus (12)

• Supersymmetric Wilson loops on S^3
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• The Spectrum of Excitations of Holographic Wilson Loops
• Localization in Supergravity and Quantum $Ad{S}_4/CF{T}_3$ Holography
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Computation of determinants using contour integrals
• On broken zero modes of a string world sheet, and a correlation function of a 1/4 BPS Wilson loop and a 1/2 BPS local operator
• Remarks on the geometrical properties of semiclassically quantized strings
• On some 1/4 BPS Wilson-'t Hooft loops

Cited by in corpus (21)

• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• Localization and AdS/CFT Correspondence
• String corrections to circular Wilson loop and anomalies
• Quiver CFT at strong coupling
• Wilson loops in circular quiver SCFTs at strong coupling
• Zeta-function Regularization of Holographic Wilson Loops
• Deformations of the circular Wilson loop and spectral (in)dependence
• Higher Rank ABJM Wilson Loops from Matrix Models
• Minimal area surfaces dual to Wilson loops and the Mathieu equation
• 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
• Semiclassical $p$-branes in hyperbolic space
• Dual conformal transformations of smooth holographic Wilson loops
• Wilson Loops and Spherical Branes
• Quantum corrections to minimal surfaces with mixed three-form flux
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• On regularizing the AdS superstring worldsheet
• Wilson Loops and Integrability
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• On bound states in Quantum Field Theory
• $1/N$ correction in holographic Wilson loop from quantum gravity