Fractional Dp-Branes with Transverse and Tangential Dynamics in the Presence of Background Fluxes

TL;DR

This paper constructs boundary states for dynamical fractional Dp-branes with background fluxes in an orbifold spacetime, analyzing their interactions including velocities and rotations, and discussing long-range forces.

Contribution

It introduces a method to model fractional Dp-branes with dynamics and fluxes in orbifold backgrounds using boundary states, providing new insights into their interactions.

Findings

Boundary states for fractional Dp-branes are constructed.

Interactions between moving fractional Dp-branes are analyzed.

Long-range force properties are discussed.

Abstract

We shall construct two boundary states which are corresponding to a dynamical fractional D$p$-brane in the presence of the fluxes of the Kalb-Ramond field and a $U(1)$ gauge potential, in the partially orbifold spacetime $\mathbb{R}^{1, 5}\times\mathbb{C}^{2}/\mathbb{Z}_{2}$. These states accurately describe the D$p$-brane in the twisted and untwisted sectors under the orbifold projection. We use them to compute the interaction of two parallel fractional D$p$-branes with the transverse velocities, tangential rotations and tangential linear motions. Various properties of the interaction, such as its long-range force, will be discussed.