# Scattering of the Kalb-Ramond State from a Dynamical D$p$-brane with Background Fields

## TL;DR

This paper calculates the scattering amplitude of the Kalb-Ramond state from a dynamical Dp-brane with background fields using boundary state and operator formalism, deriving DBI-like actions within bosonic string theory.

## Contribution

It introduces a method to compute scattering amplitudes involving a dynamical Dp-brane with multiple background fields, leading to new DBI-like actions.

## Key findings

- Derived tree-level scattering amplitudes for the Kalb-Ramond state.
- Obtained two DBI-like effective actions for the target branes.
- Extended the boundary state formalism to include dynamical branes with background fields.

## Abstract

We apply the boundary state method and operator formalism to obtain tree-level scattering amplitude of the Kalb-Ramond state from a D$p$-brane. The brane has a tangential dynamics, and it has been dressed by the antisymmetric tensor field, a $U(1)$ internal gauge potential and an open string tachyon field. By using the scattering amplitudes we acquire two DBI-like actions corresponding to the target branes. Our calculations are in the framework of the bosonic string theory.