Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$

Abstract

Recent progresses in the computation of quantum string corrections to holographic Wilson loops are extended to the case of strings in $Ad{S}_4\times C{P}^3$. For this, the ratio of 1/2-BPS circular and 1/6-BPS latitude fermionic Wilson loops in ABJM is considered at strong coupling by studying the corresponding semiclassical string partition functions. Explicit evaluation of fluctuation determinants using phaseshifts and diffeomorphism invariant regulators leads to exact matching with the recent field theory proposal. Key to this computation is the choice of boundary conditions for massless fermions. In the limit for which the latitude Wilson loop has a trivial expectation value, the long known localization result for the 1/2-BPS fermionic circular Wilson loop in ABJM is recovered.

arXiv comment28 pages

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Cited by in corpus (12)

• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$
• Localization and Duality for ABJM Latitude Wilson Loops
• On three-point functions in ABJM and the latitude Wilson loop
• Semiclassical $p$-branes in hyperbolic space
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Wilson Loops and Spherical Branes
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• Quantum corrections to minimal surfaces with mixed three-form flux
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops