Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions

TL;DR

This paper calculates the radiation of massless closed strings, including gravitons, from interacting fractional Dp-branes with transverse motion in a specific orbifold background, within bosonic string theory.

Contribution

It provides a detailed computation of closed string radiation amplitudes from fractional Dp-branes with transverse velocities in an orbifold setting, considering various background fields.

Findings

Radiation amplitudes depend on inter-brane separation and background fields.

Distinct emission patterns for graviton, Kalb-Ramond, and dilaton.

Analysis performed in the context of bosonic string theory.

Abstract

We determine the boundary states, associated with a fractional D$p$-brane in the presence of the Kalb-Ramond field and a $U(1)$ gauge potential. The background spacetime is the non-compact orbifold $ \mathbb{R}^{1, 21} \otimes \mathbb{R}^4/ \mathbb{Z}_2$. Besides, the brane has a transverse velocity. We compute the radiation amplitude of a massless closed string from the interaction of two fractional D$p$-branes with the previous background fields. The branes have been dressed by different fields and have transverse motions. The total radiation amplitude will be investigated for large inter-brane separation. Finally, the graviton, Kalb-Ramond (axion) and dilaton emissions will be distinctly studied. Our calculations are in the context of the bosonic string theory.