One-loop holography with strings in AdS4 × ℂℙ3

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.