Space-like minimal surfaces in AdS × S

Minimal Surfaces in Euclidean Space

Ring-like minimal surfaces

2014 The behaviour of a certain class of periodic minimal surfaces is studied. It becomes evident that simple deformations along the crystallographic axes of these surfaces yield two sets of solutions to the boundary problem ; one stable and one unstable. It is shown that the surfaces can be extended only within certain limits. The relationship to analytical minimal surfaces is explored. J. Phy...

0 Minimal surfaces and Reggeization in the AdS / CFT correspondence

The problem of computing scattering amplitudes related to the correlation function of two Wilson lines and/or loops elongated along light-cone directions in strongly coupled gauge theories is addressed. Using the AdS/CFT correspondence in the classical approximation, it is shown to be related to minimal surfaces generalizing the helicoid in various AdS5 backgrounds. Infra-red divergences appear...

Minimal surfaces and Reggeization in the AdS / CFT correspondence

We address the problem of computing scattering amplitudes related to the correlation function of two Wilson lines and/or loops elongated along light-cone directions in strongly coupled gauge theories. Using the AdS/CFT correspondence in the classical approximation, the amplitudes are shown to be related to minimal surfaces generalizing the helicoid in various AdS5 backgrounds. Infra-red diverge...

Minimal translation surfaces in hyperbolic space

In the half-space model of hyperbolic space, that is, R+ = {(x, y, z) ∈ R ; z > 0} with the hyperbolic metric, a translation surface is a surface that writes as z = f(x) + g(y) or y = f(x) + g(z), where f and g are smooth functions. We prove that the only minimal translation surfaces (zero mean curvature in all points) are totally geodesic planes. MSC: 53A10