In this paper we study the geometric properties, existence, regularity and related issues for a family of surfaces which are boundaries of sets minimizing certain integral norms. These surfaces can be interpreted as a non-infinitesimal version of classical minimal surfaces. Our work is motivated by the structure of interphases that arise in classical phase field models when very long space corr...

We present an extension of the minimal split supersymmetry model, which is capable of explaining the baryon asymmetry of the Universe. Instead of MSSM we start from NMSSM and split its spectrum in such a way that the low energy theory contains neutral particles, in addition to the content of minimal split supersymmetry. They trigger the strongly first order electroweak phase transition (EWPT) a...

The discovery of D-branes allows gravity live in extra dimensions not felt by the gauge forces, and permits the effective gravitational coupling GNE 2 to be unified with the other gauge couplings at MGUT ∼ 10 GeV [2]. It also opens a Pandora’s box of many other higher-dimensional scenarios for the unification of gravity and gauge interactions, possibly at scales as low as 1 TeV [3]. However in ...