Moving Fractional Branes with Background Fields: Interaction and Tachyon Condensation

TL;DR

This paper computes the interaction and tachyon condensation effects of moving fractional D-branes with background fields using boundary state formalism in an orbifolded spacetime.

Contribution

It introduces a method to analyze the interaction and tachyon condensation of moving fractional D-branes with background fields in a partially orbifolded spacetime.

Findings

Derived the boundary state for moving fractional D-branes with background fields.

Calculated the interaction amplitude between two such D-branes.

Explored the effects of tachyon condensation on these D-branes.

Abstract

We calculate the bosonic boundary state corresponding to a moving fractional D$p$-brane in a partially orbifoldized spacetime $\mathbb{R}^{1, d-5} \times\mathbb{C}^{2}/\mathbb{Z}_{2}$ in the presence of the Kalb-Ramond field, the $U(1)$ gauge potential and the tachyon field. Using this boundary state we obtain interaction amplitude of two parallel moving D$p$-branes with the above background fields. Various properties of the interaction will be investigated. Besides, we study effects of the tachyon condensation on a moving fractional D$p$-brane with the above background fields through the boundary state formalism.