Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$

Abstract

We revisit the computation of the 1-loop string correction to the "latitude" minimal surface in $Ad{S}_5\times S^5$ representing 1/4 BPS Wilson loop in planar $\mathcal{N}$=4 SYM theory previously addressed in arXiv:1512.00841 and arXiv:1601.04708. We resolve the problem of matching with the subleading term in the strong coupling expansion of the exact gauge theory result (derived previously from localization) using a different method to compute determinants of 2d string fluctuation operators. We apply perturbation theory in a small parameter (angle of the latitude) corresponding to an expansion near the $Ad{S}_2$ minimal surface representing 1/2 BPS circular Wilson loop. This allows us to compute the corrections to the heat kernels and zeta-functions of the operators in terms of the known heat kernels on $Ad{S}_2$. We apply the same method also to two other examples of Wilson loop surfaces: generalized cusp and $k$-wound circle.

32 pages, one reference added, typos corrected

References in corpus (10)

• Supersymmetric Wilson loops on S^3
• Functional Determinants in Quantum Field Theory
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Functional determinants for radial operators
• Quark-antiquark potential in AdS at one loop
• Localization and AdS/CFT Correspondence
• Computation of determinants using contour integrals
• Semiclassical partition function for strings dual to Wilson loops with small cusps in ABJM
• One-loop spectroscopy of semiclassically quantized strings: bosonic sector
• Heat Kernel for Simply-Connected Riemann Surfaces

Cited by in corpus (32)

• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• The grin of Cheshire cat resurgence from supersymmetric localization
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• 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
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Toward Precision Holography in Type IIA with Wilson Loops
• Convergence from Divergence
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Quark-antiquark potential in defect conformal field theory
• Deformations of the circular Wilson loop and spectral (in)dependence
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Semiclassical $p$-branes in hyperbolic space
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Wilson Loops and Spherical Branes
• Quantum corrections to minimal surfaces with mixed three-form flux
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• On a new type of divergence for spiky Wilson loops and related entanglement entropies
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• On regularizing the AdS superstring worldsheet
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Wilson Loops and Integrability
• 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
• On quantum corrections to BPS Wilson loops in superstring theory on $\mathbf{Ad}{\mathbf{S}}_3\times {\mathbf{S}}^3\times {\mathbf{T}}^4$ with mixed flux