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We calculate the bosonic boundary state corresponding to a moving fractionalD$p$-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 weobtain interaction amplitude of two parallel moving D$p$-branes with the abovebackground fields. Various properties of the interaction will be investigated.Besides, we study effects of the tachyon condensation on a moving fractionalD$p$-brane with the above background fields through the boundary stateformalism.

Moving Fractional Branes with Background Fields: Interaction and Tachyon Condensation