Abstract
We derive the Lax operator for a very large family of classical minimal surface solutions in AdS 3 describing Wilson loops in \( \mathcal{N} \) = 4 SYM theory. These solutions, constructed by Ishizeki, Kruczenski and Ziama, are associated with a hyperelliptic surface of odd genus. We verify that the algebraic curve derived from the Lax operator is indeed none-other than this hyperelliptic surface.
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ArXiv ePrint: 1410.5436
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Cooke, M., Drukker, N. From algebraic curve to minimal surface and back. J. High Energ. Phys. 2015, 90 (2015). https://doi.org/10.1007/JHEP02(2015)090
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DOI: https://doi.org/10.1007/JHEP02(2015)090