Local supersymmetry in supergravity

We have studied the local supersymmetry in two D = 4 supergravity models, with N = 1 and N = 2, given the Lagrangians. We have used a simple method based on the differential of the action H, which provides an alternative systematic derivation of the gauge field variations in the first order formalism. This method may be used to find non-relativistic limits of supergravity models.Departamento de Física Teórica, Atómica y ÓpticaMáster en Físic

Functions and differentials on the non-split Cartan modular curve of level 11

The genus 4 modular curve Xns(11) attached to a non-split Cartan group of level 11 admits a model defined over Q. We compute generators for its function field in terms of Siegel modular functions. We also show that its Jacobian is isomorphic over Q to the new part of the Jacobian of the classical modular curve X0(121)Postprint (author's final draft

Bares 2.0 wave buoy and sustainable buoy network

The aim of this article is to show the operation of the Bares 2.0 wave buoy and the Bares network developed by HCTech. In the marine sector it is highly important to know the state of the sea for applications such as the construction of ports, the study of the impact of waves in coastal areas, the development and calibration of forecasting wave models, the knowledge of the state of the maritime navigation channels, etc. Some of the great difficulties that exist in order to obtain the information of ocean waves is the high cost of the buoys, installation and maintenance. The Bares network aims to cover areas of high oceanographic interest, the target is a sustainable network of buoys that facilitate the access to wave data. The features of this network are the optimized cost, high reliability and reduced maintenance.Peer Reviewe

Computation of numerical semigroups by means of seeds

For the elements of a numerical semigroup which are larger than the Frobenius number, we introduce the definition of, seed, by broadening the notion of generator. This new concept allows us to explore the semigroup tree in an alternative efficient way, since the seeds of each descendant can be easily obtained from the seeds of its parent. The paper is devoted to presenting the results which are related to this approach, leading to a new algorithm for computing and counting the semigroups of a given genus