Abstract
We study the one-loop effective action of certain classical type IIA string configurations in AdS4 × ℂℙ3. These configurations are dual to Wilson loops in the \( \mathcal{N}=6 \) U(N)k × U(N)−k Chern-Simons theory coupled to matter whose expectation values are known via supersymmetric localization. We compute the one-loop effective actions using two methods: perturbative heat kernel techniques and full ζ-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the ζ-function approach seems to lead to a disagreement.
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Aguilera-Damia, J., Faraggi, A., Pando Zayas, L.A. et al. Toward precision holography in type IIA with Wilson loops. J. High Energ. Phys. 2018, 44 (2018). https://doi.org/10.1007/JHEP08(2018)044
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DOI: https://doi.org/10.1007/JHEP08(2018)044