Seminário de Teoria de Cordas  

30/11/2009, 16:30 — 17:30 — Sala P3.10, Pavilhão de Matemática
Diego Julio Cirilo-Lombardo, Bogoliubov Laboratory of Theoretical Physics,Dubna, Russian Federation

On the Non-Abelian and supersymmetric extensions of the Born-Infeld action: geometrical and physical aspects

In this work, we propose a new non-Abelian generalization of the Born-Infeld Lagrangian. It is based on a geometrical property of the Abelian Born-Infeld Lagrangian in its determinantal form. Our goal is to extend the Abelian second type Born-Infeld action to the non-Abelian form preserving this geometrical property, which permits us to compute the generalized volume element as a linear combination of the components of metric and the Yang-Mills energy-momentum tensors. Under the BPS-like condition, the action proposed reduces to that of the Yang-Mills theory, independently of the gauge group. New instanton-wormhole solution and static and spherically symmetric solution in curved spacetime for an SU(2) isotopic ansatz are solved and the N = 1 supersymmetric extension of the model is performed. The uniqueness of the theory from the physical and geometrical point of view is discussed in the light of new results obtained.