Extended Self-Dual Configurations as Stable Exact Solutions in Born-Infeld Theory

TL;DR

This paper constructs a class of exact solutions to Born-Infeld equations extending self-dual configurations, demonstrating their stability as local minima in various manifold types and providing a general explicit determinant expression.

Contribution

It introduces extended self-dual configurations as stable solutions in Born-Infeld theory across any even dimension, with explicit determinant formulas.

Findings

Solutions are local minima of the action and Hamiltonian.

Explicit general formula for the Born-Infeld determinant.

Applicable to manifolds of any even dimension.

Abstract

A class of exact solutions to the Born-Infeld field equations, over manifolds of any even dimension, is constructed. They are an extension of the self-dual configurations. They are local minima of the action for riemannian base manifolds and local minima of the Hamiltonian for pseudo-riemannian ones. A general explicit expression for the Born-Infeld determinant is obtained, for any dimension of space-time.