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arXiv · 1503.07553

Minimal Surfaces of the $AdS_5\times S^5$ Superstring and the Symmetries of Super Wilson Loops at Strong Coupling

Hagen Munkler·Jonas Pollok
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Abstract

Based on an extension of the holographic principle to superspace, we provide a strong-coupling description of smooth super Wilson loops in terms of minimal surfaces of the $AdS_5 \times S^5$ superstring. We employ the classical integrability of the Green-Schwarz superstring on $AdS_5 \times S^5$ to derive the superconformal and Yangian $Y[\mathfrak{psu}(2,2|4)]$ Ward identities for the super Wilson loop, thus extending the strong coupling results obtained for the Maldacena-Wilson loop. In the course of the derivation, we determine the minimal surface solution up to third order in an expansion close to the conformal boundary.

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Hagen Munkler, Jonas Pollok. 2015-03-25. Minimal Surfaces of the $AdS_5\times S^5$ Superstring and the Symmetries of Super Wilson Loops at Strong Coupling. https://doi.org/10.1088/1751-8113/48/36/365402

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