O. Obregón∗ Instituto de F́ısica de la Universidad de Guanajuato, P.O. Box E-143, 37150 León Gto., México (Dated: June 4, 2005) Abstract A non-Abelian Born-Infeld theory is presented. The square root structure that characterizes the Dirac-Born-Infeld (DBI) action does not appear. The procedure is based on an Abelian theory proposed by Erwin Schrödinger that, as he showed, is equivalent to Born-I...

the asymptotically ads solutions of the einstein gravity with hyperbolic horizons in the presence of so(n(n-1)/2- 1,1) yang-mills fields governed by the non-abelian born-infeld lagrangian are presented. we investigate the properties of these solutions as well as their asymptotic behavior in various dimensions. the properties of these kinds of solutions are like the einstein-yang-mills solutions...

We propose that the effective field theories of certain wrapped D-branes are given by topological actions based on Born-Infeld theory. In particular, we present a Born-Infeld version of the Abelian Donaldson-Witten theory. We then consider wrapping D3 branes on calibrated submanifolds and for the Calabi-Yau four-fold case, discuss how the resulting theory could give rise to a Born-Infeld versio...

Born-Infeld theory is the non-linear generalization of Maxwell electrodynamics. It naturally arises as the low-energy effective action of open strings, and it is also part of the world-volume effective action of D-branes. The N = 1 and N = 2 supersymmetric generalizations of the Born-Infeld action are closely related to partial spontaneous breaking of rigid extended supersymmetry. We review som...

The duality symmetric action for the Born-Infeld theory in terms of two potentials, coupled with non-trivial backgroud fields in four dimensions is established. This construction is carried out in detail by analysing the hamiltonian structure of the Born-Infeld theory. It is shown the equivalence with the usual Born-Infeld theory. Nowadays the concept of duality is widely recognized by its unif...

Solutions of Born-Infeld theory, representing strings extending from a Dirichlet p-brane, are also solutions of the higher derivative generalization of the Born-Infeld equations defining an exact open string vacuum configuration.

This dissertation is a review for the Born-Infeld action. An introduction of bosonic string theory and the object D-brane are given with its light-cone quantization procedure. We then explain the method of obtaining effective action. The derivation for the Born-Infeld action as an effective theory is presented. Later we discuss the properties, supersymmetric extensions, and applications of the ...

We show exact solutions of the Born-Infeld theory for electromagnetic plane waves propagating in the presence of static background fields. The non-linear character of the Born-Infeld equations generates an interaction between the background and the wave that changes the speed of propagation and adds a longitudinal component to the wave. As a consequence, in a magnetic background the ray directi...

We consider the spectra of excitations around diagonal and intersecting D-brane configurations on tori. These configurations are described by constant curvature connections in a dual gauge theory description. The low-energy string fluctuation spectrum is reproduced exactly by the gauge theory in the case of vanishing field strength; however, this correspondence breaks down for fixed nonzero fie...