Matrix string theory and the Myers effect

TL;DR

This paper introduces a new matrix string theory configuration where D1-branes expand into D5-branes due to electric fields and RR potentials, proposing a new action and demonstrating string growth into Dp-branes.

Contribution

It proposes a novel matrix string theory action in non-trivial backgrounds and demonstrates how fundamental strings can grow into Dp-branes, including D5-branes, under specific conditions.

Findings

New non-abelian D1-brane to D5-brane configuration

Conjectured a new matrix string theory action in complex backgrounds

Demonstrated string growth into Dp-branes in supergravity backgrounds

Abstract

A new configuration of non-abelian D1-branes growing into D5-branes is found. This time the effect is triggered by a non-trivial electric field on the world-volume of the D1-branes and a constant RR 4-form potential. Based on the these configurations and other observations regarding non-abilean effective actions, a new action for matrix string theory in non-trivial backgrounds is conjectured. As an application we found that fundamental strings can grow into Dp-branes, in particular by placing the strings in the background of a group of near horizon D3-branes we found D5-branes. These types of configurations were found from the supergravity point of view in previous works.