Fundamental vs. Solitonic Description of D3 branes

TL;DR

This paper explores the duality between the solitonic and fundamental descriptions of D3 branes in string theory, analyzing implications for the Maldacena Conjecture and its stronger forms.

Contribution

It proposes a duality framework connecting the solitonic and fundamental descriptions of D3 branes, providing insights into the stronger form of the Maldacena Conjecture.

Findings

Establishes a string-string duality between D3 brane descriptions.

Analyzes the implications for the stronger Maldacena Conjecture.

Provides a framework for understanding dual descriptions of D3 branes.

Abstract

Type IIB string theory expanded around D3 brane backgrounds describes the dynamics of D3 branes as solitonic objects. On the other hand, there is a fundamental description of them via Polchinski's open strings with Dirichlet boundary conditions. Since these two descriptions describe the dynamics of the same objects, D3 branes, it is natural to believe that they are dual. Therefore at this level, we have a string-string duality as opposed to a string-field theory duality. Once we take the same limits in both descriptions, Maldacena Conjecture in its weaker form follows. We try to make this viewpoint precise and study the implication of it for the stronger form of Maldacena Conjecture.