Some aspects of abelian and nonabelian T-duality and the gauge/gravity correspondence

Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)

Jornalismo e crítica literária em Sérgio Augusto

The aim of this article is to analyze the journalistic elements existents in Sérgio Augusto’s literary criticism, in the column Prosa de Sábado, from the Supplement Sabático of the newspaper O Estado de S. Paulo. From the methodological point of view, it is guided by the studies of Pierre Bourdieu’s field theory. In addition, it discusses the relations between literary criticism and journalistic criticism based on Silviano Santiago and Flora Süssekind’s reflections, looking for establishing connections with the journalistic elements that inform Sergio Augusto’s literary criticism.

Soluções tipo vórtex em teorias de gauge Chern-Simons-Maxwell-Higgs

Pós-graduação em Física - IFT

Um estudo sobre transições de fase dinâamicas e equações estocásticas de Ginzburg-Landau-Langevin

Pós-graduação em Física - IFT

Pseudomecânica: partículas de spins inteiros, semi-inteiros e fracionários

Pós-graduação em Física - IFT

Eletrodinâmica de ordem superior em (2+1)D

Pós-graduação em Física - IFT

Construção exata de sólitons de Hopf

Pós-graduação em Física - IFT

Cordas cósmicas e gravitação planar de ordem superior

The possibility of generalizing gravity in 2+1 dimensions to include higher-derivative terms, thereby allowing for a dynamical theory, opens up a variety of new interesting questions. This is in great contrast with pure Einstein gravity which is a generally covariant theory that has no degrees of freedom - a peculiarity that, in a sense, renders it a little insipid and odorless. The research on gravity of particles moving in a plane, that is, living in flatland, within the context of higher-derivative gravity, leads to novel and interesting effects. For instance, the generation of gravity, antigravity, and gravitational shielding by the interaction of massive scalar bosons via a graviton exchange. In addition, the gravitational deffection angle of a photon, unlike that of Einstein gravity, is dependent of the impact parameter. On the other hand, the great drawback to using linearized general relativity for describing a gravitating string is that this description leads to some unphysical results such as: (i) lack of a gravity force in the nonrelativistic limit; (ii) gravitational deffection independent of the impact parameter. Interesting enough, the effective cure for these pathologies is the replacement of linearized gravity by linearized higher-derivative gravity. We address these issues here

Some aspects of self-duality and generalised BPS theories

If a scalar eld theory in (1+1) dimensions possesses soliton solutions obeying rst order BPS equations, then, in general, it is possible to nd an in nite number of related eld theories with BPS solitons which obey closely related BPS equations. We point out that this fact may be understood as a simple consequence of an appropriately generalised notion of self-duality. We show that this self-duality framework enables us to generalize to higher dimensions the construction of new solitons from already known solutions. By performing simple eld transformations our procedure allows us to relate solitons with di erent topological properties. We present several interesting examples of such solitons in two and three dimensions.

A Skyrme-like model with an exact BPS bound

We propose a new Skyrme-like model with fields taking values on the sphere S3 or, equivalently, on the group SU(2). The action of the model contains a quadratic kinetic term plus a quartic term which is the same as that of the Skyrme-Faddeev model. The novelty of the model is that it possess a first order Bogomolny type equation whose solutions automatically satisfy the second order Euler-Lagrange equations. It also possesses a lower bound on the static energy which is saturated by the Bogomolny solutions. Such Bogomolny equation is equivalent to the so-called force free equation used in plasma and solar Physics, and which possesses large classes of solutions. An old result due to Chandrasekhar prevents the existence of finite energy solutions for the force free equation on the entire three- dimensional space R3. We construct new exact finite energy solutions to the Bogomolny equations for the case where the space is the three-sphere S3, using toroidal like coordinates.

Apuntes de Análisis Vectorial

Esta publicacion está basada en unos apuntes para la parte de campos escalares y vectoriales de las asignaturas de la ETSAM y de la titulación de Ingeniero en Geodesia y Cartografía. Además, se ha añadido otro material extra a lo largo del tiempo, por lo que el contenido actual es más amplio que el correspondiente a dichas asignaturas. Sin embargo, espero que muchas de las partes sean aún bastante útiles.

Ampliación de matemáticas

En este manual se recogen diferentes materias, como la integral de Riemann-Stieltjes, las integrales dependientes de un parámetro, las funciones definidas por medio de integrales, las integrales curvilíneas, las integrales dobles y triples, las ecuaciones diferenciales ordinarias o la teoría de los campos escalares y vectoriales, entre otros temas.