Abstract
We compute the one-loop effective action of string configurations embedded in AdS4 × ℂℙ3 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.
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ArXiv ePrint: 1907.08590
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David, M., de León Ardón, R., Faraggi, A. et al. One-loop holography with strings in AdS4 × ℂℙ3. J. High Energ. Phys. 2019, 70 (2019). https://doi.org/10.1007/JHEP10(2019)070
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DOI: https://doi.org/10.1007/JHEP10(2019)070