Work

From algebraic curve to minimal surface and back

Year: 2015

Type: article

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.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep02(2015)090

Authors: Michael Cooke, Nadav Drukker

Institution: King's College London

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: CERN, National Research Foundation, Science and Technology Facilities Council

Awards: G6516660612, G7904533359