Moving Mixed Branes in Compact Spacetime

TL;DR

This paper develops a comprehensive framework for analyzing two moving branes in compact spacetime with background fields, using boundary state formalism, and explores their interactions and contributions of massless states.

Contribution

It introduces a general description of moving branes with background fields in compact spacetime, utilizing boundary state formalism, and provides specific examples and interaction analysis.

Findings

Explicit description of branes in compact spacetime with background fields.

Extraction of massless state contributions to brane interactions.

Illustrative examples clarifying the general formalism.

Abstract

In this article we present a general description of two moving branes in presence of the $B_{\mu \nu}$ field and gauge fields $A^{(1)}_{\alpha_1}$ and $A^{(2)}_{\alpha_2}$ on them, in spacetime in which some of its directions are compact on tori. Some examples are considered to elucidate this general description. Also contribution of the massless states to the interaction is extracted. Boundary state formalism is a useful tool for these considerations.