Are the String and Einstein Frames Equivalent

The low energy physics as predicted by strings can be expressed in two (conformally related) different variables, usually called {\em frames}. The problem is raised as to whether it is physically possible in some situations to tell one from the other.Comment: 12 pages, LaTe

Supersymmetric 3D model for gravity with SU(2)SU(2) gauge symmetry, mass generation and effective cosmological constant

A Chern--Simons system in $2+1$ dimensions invariant under local Lorentz rotations, $SU(2)$ gauge transformations, and local $\mathcal{N}=2$ supersymmetry transformations is proposed. The field content is that of $(2+1)$-gravity plus an $SU(2)$ gauge field, a spin-1/2 fermion charged with respect to $SU(2)$ and a trivial free abelian gauge field. A peculiarity of the model is the absence of gravitini, although it includes gravity and supersymmetry. Likewise, no gauginos are present. All the parameters involved in the system are either protected by gauge invariance or emerge as integration constants. An effective mass and effective cosmological constant emerge by spontaneus breaking of local scaling invariance. The vacuum sector is defined by configurations with locally flat Lorentz and $SU(2)$ connections sporting nontrivial global charges. Three-dimensional Lorentz-flat geometries are spacetimes of locally constant negative --or zero--, Riemann curvature, which include Minkowski space, AdS$_3$, BTZ black holes, and point particles. These solutions admit different numbers of globally defined, covariantly constant spinors and are therefore good candidates for stable ground states. The fermionic sector in this system could describe the dynamics of electrons in graphene in the long wavelength limit near the Dirac points, with the spin degree of freedom of the electrons represented by the $SU(2)$ label. If this is the case, the $SU(2)$ gauge field would produce a spin-spin interaction giving rise to strong correlation of electron pairs.Comment: 15 page

Urban Growth and Long-Term Transformations in Spanish Cities Since the Mid-Nineteenth Century: A Methodology to Determine Changes in Urban Density.

The current work models urban growth in the continuous built-up areas of 47 Spanish cities from the mid-nineteenth century through to the present day. We did this by compiling a comprehensive Geographic Information System (GIS) dataset, based on a series of historic maps and aerial images, and then used this to study urban growth and to make spatial comparisons. Our chosen indicator of expansion: population density, was calculated by dividing the total population of each city (based on its municipal area) by its built-up area during each period. Our results revealed four different stages of growth, each of which was characterised by a certain political and economic reality. They showed the clogging up of the walled city, the shaping of the urban ensanches, the maturity of the compact city and the process of metropolisation

Drying/encapsulation of red wine to produce ingredientes for healthy foods

Epidemiological evidence indicates that moderate consumption of red wine reducesthe incidence of coronary disease, atherosclerosis, and platelet aggregation. Wine is very rich in antioxidant compounds because of their phenolic components.However, many people for ethnic, social or religious reasons do not consume wine. Drying/encapsulation of red wine in the presence of adequate carbohydrates leads to water and more than 99% of alcohol removal; a glassy amorphous microstructure is obtained in which the wine's phenolic compounds are entrapped. The resulting product is a free flowing powder which could be used for the polyphenol enrichment of healthy foods and/or drink powders, as well as in the pharmaceutical industry. The wine industry may take advantage of the dried/encapsulated red wine using as a raw material red wines which have littlecommercial value for different reasons; i.e. poor quality due to raw material, unfavourable climatic conditions, or wines that suffered some alteration during the wine making process. Dry encapsulated wine may be a new alternative to red wines that cannot be sold as such for different reasons, and open new opportunities to diversify wine products.Fil: Alvarez Gaona, Izmari Jasel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires"; ArgentinaFil: Rocha Parra, Diego Fernando. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires"; ArgentinaFil: Zamora, María Clara. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires"; ArgentinaFil: Chirife, Jorge. Pontificia Universidad Católica Argentina "Santa María de los Buenos Aires"; Argentin

Vassiliev invariants: a new framework for quantum gravity

We show that Vassiliev invariants of knots, appropriately generalized to the spin network context, are loop differentiable in spite of being diffeomorphism invariant. This opens the possibility of defining rigorously the constraints of quantum gravity as geometrical operators acting on the space of Vassiliev invariants of spin nets. We show how to explicitly realize the diffeomorphism constraint on this space and present proposals for the construction of Hamiltonian constraints.Comment: 15 pages, several figures included with psfi

Arte y Geometría. Carl Andre

Artículo en el que se analiza la exposición propuesta por el Centro de Arte Reina Sofía en el año 2015 sobre la trayectoria artística de Carl Andre en diferentes ámbitos. Uno de los objetivos de este artículo en el plano pedagógico es presentar la vinculación del dibujo geométrico con el arte