One-loop corrections to holographic Wilson loop in AdS4xCP3

Abstract

The evaluation of BPS Wilson loops in N=6, D=3 Chern-Simons matter theory is reduced to ordinary matrix integrals via localization technique. It is easy to check that the vacuum expectation value of 1/2 BPS Wilson loops at leading order in planar limit agrees with the regularized classical string action, via AdS/CFT. Then the subleading terms in principle can be calculated by treating the string theory semi-classically. In this article we calculate the one-loop determinant for fluctuation modes of holographic Wilson loop in the dual geometry AdS4xCP3. The fermionic normal mode frequencies are expressed in terms of the hypergeometric function, and we compute the one-loop effective action numerically. The discrepancy with localization formula is due to the zero mode normalization constant, which is yet to be determined.

14pages, 1 fig. v3. Major revision. Due to an error in previous version, the calculation is largely re-done

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• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• An exact formula for the radiation of a moving quark in N=4 super Yang Mills
• The quark anti-quark potential and the cusp anomalous dimension from a TBA equation
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Spinning strings at one-loop in AdS_4 x P^3
• Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory
• Comment on the Scaling Function in AdS4 x CP3
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Quark-antiquark potential in AdS at one loop
• Semiclassical folded string in AdS4 X CP3
• The Partition Function of a Wilson Loop in a Strongly Coupled $\mathcal{N}=4$ Supersymmetric Yang-Mills Plasma with Fluctuations

Cited by in corpus (17)

• Roadmap on Wilson loops in 3d Chern-Simons-matter theories
• Generalized cusp in AdS_4 x CP^3 and more one-loop results from semiclassical strings
• Strong coupling expansion of circular Wilson loops and string theories in AdS${}_5\times {\mathrm{S}}^5$ and AdS${}_4\times {\mathrm{CP}}^3$
• Wilson loops at large $N$ and the quantum M2 brane
• Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations
• Toward Precision Holography in Type IIA with Wilson Loops
• Matching quantum string corrections and circular Wilson loops in $Ad{S}_4\times C{P}^3$
• Supersymmetric Wilson loops with general contours in ABJM theory
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Semiclassical $p$-branes in hyperbolic space
• From geometric to function-theoretic Langlands (or how to invent shtukas)
• Holographical Description of BPS Wilson Loops in Flavored ABJM Theory
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Vortex loop operators and quantum M2-branes
• Quantum corrections to minimal surfaces with mixed three-form flux
• Wilson Loops and Spherical Branes