Strong Coupling Limit of Open String: Born-Infeld Analysis

TL;DR

This paper investigates the strong coupling limit of the Born-Infeld action in curved backgrounds, revealing a dual description where open strings behave like closed strings, with implications for gauge/gravity dualities.

Contribution

It introduces a Hamiltonian dualization approach to interpret open strings as closed strings in the strong coupling limit, providing new insights into gauge/gravity dualities.

Findings

Open strings can be described as closed strings in the strong coupling limit.

The dualized Hamiltonian admits string-like solutions interpreted as closed strings.

Implications for dual pairs of gauge and gravity theories, including AdS/CFT and matrix theory.

Abstract

We consider a large coupling limit of a Born-Infeld action in a curved background of an arbitrary metric and a constant two form field. Following hep-th/0009061, we go to the Hamiltonian description. The Hamiltonian can be dualized and the dual action admits a string-like configuration as its solution. We interpret it as a closed string configuration. The procedure can be viewed as a novel way of bringing out the appropriate degrees of freedom, a closed string, for a open string under the strong coupling limit. We argue that this interpretation implies a large number of dual pairs of gauge and gravity theories whose particular examples are AdS/CFT and matrix theory conjectures.