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Dressed minimal surfaces in AdS4

A bstract We apply an arbitrary number of dressing transformations to a static minimal surface in AdS 4 . Interestingly, a single dressing transformation, with the simplest dressing factor, interrelates the latter to solutions of the Euclidean non linear sigma model in dS 3 . We present an expressio...

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Bibliographic Details
Published in:The journal of high energy physics 2020-11, Vol.2020 (11), Article 128
Main Authors: Katsinis, Dimitrios, Manolopoulos, Dimitrios, Mitsoulas, Ioannis, Pastras, Georgios
Format: Article
Language:English
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Summary:A bstract We apply an arbitrary number of dressing transformations to a static minimal surface in AdS 4 . Interestingly, a single dressing transformation, with the simplest dressing factor, interrelates the latter to solutions of the Euclidean non linear sigma model in dS 3 . We present an expression for the area element of the dressed minimal surface in terms of that of the initial one and comment on the boundary region of the dressed surface. Finally, we apply the above formalism to the elliptic minimal surfaces and obtain new ones.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP11(2020)128