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arXiv · 1907.08590

One-loop Holography with Strings in $AdS_4\times\mathbb {CP}^3$

Marina David·Rodrigo de León Ardón·Alberto Faraggi·Leopoldo A. Pando Zayas·Guillermo A. Silva
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Abstract

We compute the one-loop effective action of string configurations embedded in $AdS_4\times\mathbb{CP}^3$ 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.

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Marina David, Rodrigo de León Ardón, Alberto Faraggi, Leopoldo A. Pando Zayas, Guillermo A. Silva. 2019-08-26. One-loop Holography with Strings in $AdS_4\times\mathbb {CP}^3$. https://doi.org/10.1007/jhep10(2019)070

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