From algebraic curve to minimal surface and back

Michael Cooke; Nadav Drukker

doi:10.1007/JHEP02(2015)090

From algebraic curve to minimal surface and back

Michael Cooke^*, Nadav Drukker

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

We derive the Lax operator for a very large family of classical minimal surface solutions in AdS₃ describing Wilson loops in 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.

Original language	English
Article number	90
Number of pages	19
Journal	Journal of High Energy Physics
Volume	2015
Issue number	2
DOIs	https://doi.org/10.1007/JHEP02(2015)090
Publication status	Published - 13 Feb 2015

Keywords

AdS-CFT Correspondence
Integrable Field Theories
Wilson
’t Hooft and Polyakov loops

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10.1007/JHEP02(2015)090

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title = "From algebraic curve to minimal surface and back",

abstract = "We derive the Lax operator for a very large family of classical minimal surface solutions in AdS3 describing Wilson loops in 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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AU - Drukker, Nadav

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AB - We derive the Lax operator for a very large family of classical minimal surface solutions in AdS3 describing Wilson loops in 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.

KW - AdS-CFT Correspondence

KW - Integrable Field Theories

KW - Wilson

KW - ’t Hooft and Polyakov loops

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U2 - 10.1007/JHEP02(2015)090

DO - 10.1007/JHEP02(2015)090

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VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

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ER -

From algebraic curve to minimal surface and back

Abstract

Keywords

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