Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$

Abstract

We revisit the problem of matching the strong coupling expansion of the $\frac{1}{2}$ BPS circular Wilson loops in $\mathcal{N}=4$ SYM and ABJM gauge theories with their string theory duals in ${\mathrm{AdS}}_5\times S^5$ and ${\mathrm{AdS}}_4\times C{P}^3$, at the first subleading (one-loop) order of the expansion around the minimal surface. We observe that, including the overall factor $1/g_{\mathrm{s}}$ of the inverse string coupling constant, as appropriate for the open string partition function with disk topology, and a universal prefactor proportional to the square root of the string tension $T$, both the SYM and ABJM results precisely match the string theory prediction. We provide an explanation of the origin of the $\sqrt{T}$ prefactor based on special features of the combination of one-loop determinants appearing in the string partition function. The latter also implies a natural generalization $Z_{\chi }\sim (\sqrt{T}/g_{\mathrm{s}}{)}^{\chi }$ to higher genus contributions with the Euler number $\chi$, which is consistent with the structure of the $1/N$ corrections found on the gauge theory side.

arXiv comment28 pages. v3,v4: minor corrections

References in corpus (45)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Exact Results for Wilson Loops in Superconformal Chern-Simons Theories with Matter
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Wilson Loops and Minimal Surfaces
• From weak to strong coupling in ABJM theory
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Exact Results in D=2 Supersymmetric Gauge Theories
• String Theory and Classical Absorption by Threebranes
• All-genus calculation of Wilson loops using D-branes
• World Volume Approach to Absorption by Non-dilatonic Branes
• Green-Schwarz String in AdS_5 x S^5: Semiclassical Partition Function
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• Exact Results in ABJM Theory from Topological Strings
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Exact results for the entanglement entropy and the energy radiated by a quark
• Wilson loops in 3-dimensional N=6 supersymmetric Chern-Simons Theory and their string theory duals
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson loops
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Vacua, Propagators, and Holographic Probes in AdS/CFT
• Quantum spinning strings in AdS_4 x CP^3: testing the Bethe Ansatz proposal
• Anomalous radius shift in AdS(4)/CFT(3)
• Matching the circular Wilson loop with dual open string solution at 1-loop in strong coupling
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• Stringy Corrections to the Wilson Loop in N=4 Super Yang-Mills Theory
• On the integrability of Wilson loops in AdS_5 x S^5: Some periodic ansatze
• Exact Slope and Interpolating Functions in ABJM Theory
• More exact predictions of SUSYM for string theory
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Dilaton - fixed scalar correlators and AdS_5 x S^5 - SYM correspondence
• Precision calculation of 1/4-BPS Wilson loops in AdS${}_5\times S^5$
• Perturbative computation of string one-loop corrections to Wilson loop minimal surfaces in $Ad{S}_5\times S^5$
• More about One-Loop Effective Action of Open Superstring in $Ad{S}_5\times S^5$
• String corrections to circular Wilson loop and anomalies
• Precision matching of circular Wilson loops and strings in AdS(5)xS(5)
• One-loop corrections to holographic Wilson loop in AdS4xCP3
• On strong-coupling correlation functions of circular Wilson loops and local operators
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Higher Rank ABJM Wilson Loops from Matrix Models
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$

Cited by in corpus (14)

• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• Wilson loops at large $N$ and the quantum M2 brane
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Non-planar corrections in orbifold/orientifold $\mathcal{N}=2$ superconformal theories from localization
• Exact strong coupling results in $\mathcal{N}$=2 $Sp(2N)$ superconformal gauge theory from localization
• Vortex loop operators and quantum M2-branes
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling
• ADHM Wilson line defect indices
• Wilson Loops and Spherical Branes
• Two types of series expansions valid at strong coupling
• Abelian dualities and line defect indices for 3d gauge theories
• BPS Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)$ "orientifold" gauge theory and weak-strong coupling interpolation
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Strong coupling expansion of free energy and BPS Wilson loop in $\mathcal{N}=2$ superconformal models with fundamental hypermultiplets