Moving Branes with Background Massless and Tachyon Fields in the Compact Spacetime

TL;DR

This paper constructs the boundary state for a moving Dp-brane with background fields in compact spacetime, analyzing its properties and interactions with other branes, including contributions from massless states.

Contribution

It introduces a new boundary state formulation for moving Dp-branes with background fields in compact spacetime and analyzes their interaction amplitudes.

Findings

Boundary state for moving Dp-brane with background fields derived.

Interaction amplitudes between branes computed and analyzed.

Massless state contributions to interactions identified.

Abstract

In this article we shall obtain the boundary state associated with a moving $Dp$-brane in the presence of the Kalb-Ramond field $B_{\mu\nu}$, an internal U(1) gauge field $A_{\alpha}$ and a tachyon field, in the compact spacetime. According to this state, properties of the brane and a closed string, with mixed boundary conditions emitted from it, will be obtained. Using this boundary state we calculate the interaction amplitude of two moving $Dp_{1}$ and $Dp_{2}$-branes with above background fields in a partially compact spacetime. They are parallel or perpendicular to each other. Properties of the interaction amplitude will be analyzed and contribution of the massless states to the interaction will be extracted.