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One-loop holography with strings in AdS4 × ℂℙ3

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Abstract We compute the one-loop effective action of string configurations embedded in AdS4 × ℂℙ3 which are dual to $$ \frac{1}{6} $$ 1 6 -BPS latitude Wilson Loops in the… Click to show full abstract

Abstract We compute the one-loop effective action of string configurations embedded in AdS4 × ℂℙ3 which are dual to $$ \frac{1}{6} $$ 1 6 -BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the $$ \frac{1}{2} $$ 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.

Keywords: strings ads4; loop holography; loop; topology; holography strings; one loop

Journal Title: Journal of High Energy Physics
Year Published: 2019

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