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DOE OSTI · 1657073

One-loop holography with strings in AdS 4 × $\mathbb{CP}$ 3

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

We compute the one-loop effective action of string configurations embedded in AdS 4 × CP 3 which are dual to 1/6-BPS latitude Wilson Loops in the ABJM theory. To avoid ambiguities in the string path integral we subtract the 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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72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDSAdS-CFT CorrespondenceSupersymmetric Gauge TheoryWilson, ’t Hooft and Polyakov loops

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David, Marina, de León Ardón, Rodrigo, Faraggi, Alberto, Pando Zayas, Leopoldo A., Silva, Guillermo A.. 2019-10-07. One-loop holography with strings in AdS 4 × $\mathbb{CP}$ 3. https://doi.org/10.1007/jhep10(2019)070

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