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arXiv · 1802.03016

Zeta-function Regularization of Holographic Wilson Loops

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

Using $\zeta$-function regularization, we study the one-loop effective action of fundamental strings in $AdS_5\times S^5$ dual to the latitude $\frac{1}{4}$-BPS Wilson loop in $\mathcal{N}=4$ Super-Yang-Mills theory. To avoid certain ambiguities inherent to string theory on curved backgrounds we subtract the effective action of the holographic $\frac{1}{2}$-BPS Wilson loop. We find agreement with the expected field theory result at first order in the small latitude angle expansion but discrepancies at higher order.

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Jeremías Aguilera-Damia, Alberto Faraggi, Leopoldo A. Pando Zayas, Vimal Rathee, Guillermo A. Silva. 2018-02-08. Zeta-function Regularization of Holographic Wilson Loops. https://doi.org/10.1103/physrevd.98.046011

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