Born-Infeld action and Supersymmetry (in spanish)

TL;DR

This thesis explores the supersymmetric extension of the Dirac-Born-Infeld action, analyzing BPS states, non-BPS solutions, and their implications in superstring theory, with new constructions of N=1 and N=2 supersymmetric models.

Contribution

It introduces new N=2 and N=1 supersymmetric extensions of the Born-Infeld action and analyzes their BPS solutions within superstring theory context.

Findings

Constructed N=2 supersymmetric Born-Infeld-Higgs in 3D

Developed N=1 supersymmetric non-abelian Born-Infeld in 4D

Analyzed BPS and non-BPS solutions in superstring framework

Abstract

In the thesis we analize different problems related to the supersymmetric extension of the Dirac-Born-Infeld action. In chapter 2 we introduce the DBI action and show how it appears in string theory, we discuss also it's connection with Dp-branes. Chapter 3 is a self contained introduction to supersymmetry, with emphasis on BPS states. In chapter 4 we construct the N=2 supersymmetric extension of the Born-Infeld-Higgs in three space-time dimensions and discuss it's BPS states and Bogomol'nyi bounds. In chapter 5 we construct the N=1 supersymmetric extension of the non-abelian Born-Infeld theory in four space-time dimensions. Chapter 6 deals with the analisis of BPS and non-BPS solutions of the Dirac-Born-Infeld action and their interpretation in superstring theory. Chapter 7 is devoted to the conclusions. Three appendix complete the work.