Multiple D$_p$-branes as a D$_{p+2}$-brane

TL;DR

This paper demonstrates how the action of a D_{p+2}-brane can be derived from multiple D_p-branes in the large N limit, confirming theoretical expectations from matrix theory.

Contribution

It provides a detailed derivation of the D_{p+2}-brane action from N D_p-branes, including both BPS and non-BPS cases, validating the matrix theory prediction.

Findings

Derived D_{p+2}-brane action from D_p-branes in large N limit

Confirmed the relation for both BPS and non-BPS branes

Validated theoretical expectations from BFSS matrix theory

Abstract

From BFSS matrix theory considerations, it is expected that a single D$_{p+2}$-brane action can be obtained from N D$_p$-brane action in large N limit. We examine and confirm this expectation by working out the details of DBI and Chern-Simons terms of D$_{p+2}$-brane action from D$_{p}$-brane action. We show that the same relation works for non-BPS, as well as BPS branes