# Effective Action of a Dynamical D$p$-brane with Background Fluxes

## TL;DR

This paper derives the effective action for a dynamical Dp-brane incorporating background fluxes, using boundary state formalism within type II superstring theory, to better understand brane dynamics with gauge fields and background fields.

## Contribution

It constructs the Dirac-Born-Infeld and Wess-Zumino actions for a dynamical Dp-brane with background fluxes, including both tangential and transverse dynamics, within superstring theory.

## Key findings

- Derived the effective actions incorporating background fluxes.
- Analyzed brane dynamics with both tangential and transverse components.
- Applied boundary state formalism in superstring theory context.

## Abstract

We shall construct the Dirac-Born-Infeld like and the Wess-Zumino like actions for a dynamical D$p$-brane with the $U(1)$ gauge potential and the Kalb-Ramond background field. The brane dynamics simultaneously has both tangential and transverse components. Our calculations will be in the context of the type II superstring theory, via the boundary state formalism.