Interaction of Moving Branes with Background Massless and Tachyon Fields in Superstring Theory

TL;DR

This paper investigates how moving D-branes interact within superstring theory when background massless and tachyon fields are present, revealing unique behaviors influenced by these fields and brane motion.

Contribution

It introduces a boundary state formalism to analyze interactions of moving D-branes with background fields, including tachyons, in a partially compactified spacetime, highlighting novel effects.

Findings

Interaction amplitudes are affected by background fields and brane motion.

Presence of tachyon fields alters the interaction behavior.

Compactification and brane orientation influence the interaction dynamics.

Abstract

Using the boundary state formalism we study a moving D$p$-brane in a partially compact spacetime in the presence of the background fields: Kalb-Ramond $B_{\mu\nu}$, a U(1) gauge field $A_{\alpha}$ and the tachyon field. The boundary state enables us to obtain interaction amplitude of two branes with above background fields. The branes are parallel or perpendicular to each other. Presence of the background fields, compactification of some directions of the spacetime, motion of the branes and arbitrariness of the branes' dimensions give a general feature to the system. Due to the tachyon fields and velocities of the branes, the behavior of the interaction amplitude reveals obvious differences from what is conventional.