The Wilson loop operator in the Aharony-Bergman-Jafferis-Maldacena theory at large and fixed level has a dual description in terms of a wrapped M2-brane in the -theory given by the product of four-dimensional anti de Sitter space and . We consider the localization result for the -Bogomol’nyi-Prasad-Sommerfield circular Wilson loop expectation value in this regime and compare it to the prediction of the M2-brane theory. The leading large exponential factor is matched as expected by the classical action of the M2-brane solution with geometry. We show that the subleading -dependent prefactor in is also exactly reproduced by the one-loop term in the partition function of the wrapped M2-brane (with all Kaluza-Klein modes included). This appears to be the first case of an exact matching of the overall numerical prefactor in the Wilson loop expectation value against the dual holographic result. It provides an example of a consistent quantum M2-brane computation, suggesting various generalizations.
- Received 31 March 2023
- Accepted 21 April 2023
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society
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