Born-Infeld Dynamics in Uniform Electric Field

TL;DR

This paper explores classical solutions of Born-Infeld theory in a uniform electric field, focusing on bound states of strings and branes, their stability, and fluctuation properties, connecting field theory with string worldsheet descriptions.

Contribution

It provides a detailed analysis of BPS and non-BPS configurations in Born-Infeld theory under a uniform electric field, linking classical solutions to string theory boundary conditions.

Findings

BPS configurations are stable due to force balance.

Fluctuations follow boundary conditions matching string worldsheet theory.

Non-BPS solutions are also characterized and discussed.

Abstract

We investigate various properties of classical configurations of the Born-Infeld theory in a uniform electric field. This system is involved with dynamics of (F,Dp) bound states, which are bound states of fundamental strings and Dp-branes. The uniform electric field can be treated as a constraint on the asymptotic behavior of the fields on the brane. BPS configurations in this theory correspond to fundamental strings attached to the (F,Dp) bound state, and are found to be stable due to force balance. Fluctuations around these stable configurations are subject to appropriate Dirichlet and Neumann boundary conditions which are identical with the ones deduced from the ordinary worldsheet description of the attached string. Additionally, non-BPS solutions are studied and related physics are discussed.