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arXiv · 1805.00859

Toward Precision Holography in Type IIA with Wilson Loops

Jeremías Aguilera-Damia·Alberto Faraggi·Leopoldo A. Pando Zayas·Vimal Rathee·Guillermo A. Silva
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Abstract

We study the one-loop effective action of certain classical type IIA string configurations in $AdS_4\times \mathbb{CP}^3$. These configurations are dual to Wilson loops in the $\mathcal{N}= 6\:$ $U(N)_k \times U(N)_{-k}$ 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 $\zeta$-function regularization. We find that the result of the perturbative heat kernel method matches the field theory prediction at the appropriate order while the $\zeta$-function approach seems to lead to a disagreement. We explore various issues that might be responsible for this state of affairs.

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Jeremías Aguilera-Damia, Alberto Faraggi, Leopoldo A. Pando Zayas, Vimal Rathee, Guillermo A. Silva. 2018-05-02. Toward Precision Holography in Type IIA with Wilson Loops. https://doi.org/10.1007/jhep08(2018)044

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