# On matrix description of D-branes

## TL;DR

This paper explores the low energy dynamics of Dp-branes with large D0-brane charge, proposing a new gauge fixing and demonstrating the matrix description's validity, along with calculating interactions between fluxed D2-branes.

## Contribution

It introduces a new gauge fixing condition for D-branes with large D0-brane charge and confirms the matrix description's applicability in this regime.

## Key findings

- Matrix description accurately characterizes D-brane dynamics at high D0-brane density.
- New gauge fixing eliminates spatial gauge fluctuations effectively.
- Calculated interactions between fluxed D2-branes in matrix theory.

## Abstract

We study the low energy dynamics of a single Dp-brane carrying sufcient large number of D0-brane charges in type IIA theory. We assume the D-brane topology to be $R \times \mathcal{M}_{2n} $ , where $\mathcal{M}_{2n}$ is a closed manifold admitting a symplectic structure. We propose a new gauge fixing condition which eliminates the spatial gauge fluctuations on the Dp-brane. Using a conventional regularization method, one finds that the dynamics is characterized by D0-brane matrix description when the density of D0-branes is large enough. We also calculate the leading order interactions between two D2-branes carrying both electric and magnetic fluxes in matrix theory.