Dressed Minimal Surfaces in AdS$_4$
High Energy Physics - Theory
2020-11-30 v1 Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
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.
Cite
@article{arxiv.2007.10922,
title = {Dressed Minimal Surfaces in AdS$_4$},
author = {Dimitrios Katsinis and Dimitrios Manolopoulos and Ioannis Mitsoulas and Georgios Pastras},
journal= {arXiv preprint arXiv:2007.10922},
year = {2020}
}
Comments
39 pages, 2 figures