One-loop Holography with Strings in $Ad{S}_4\times {\mathbb{CP}}^3$

Abstract

We compute the one-loop effective action of string configurations embedded in $Ad{S}_4\times {\mathbb{CP}}^3$ which are dual to $\frac{1}{6}$-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the $\frac{1}{2}$-BPS case. The one-loop determinants are computed by Fourier-decomposing the two dimensional operators and then using the Gel'fand-Yaglom method. We comment on various aspects related to the regularization procedure, showing the cancellation of a hierarchy of divergences. After taking into account an IR anomaly from a change in topology, we find a precise agreement with the field theory result known from supersymmetric localization.

arXiv comment14 pages; v2: references added, comment about boundary conditions added

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Cited by in corpus (13)

• 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${}_4\times {\mathrm{CP}}^3$
• 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
• ADHM Wilson line defect indices
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• 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
• Abelian dualities and line defect indices for 3d gauge theories
• On precision holography for the circular Wilson loop in $Ad{S}_5\times S^5$
• Vacuum configuration of winding superstrings from non-standard semiclassical quantization
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops