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In this article, we investigate zero-modes for a dynamical (rotating-moving)D$p$-brane, coupled to the electromagnetic and tachyonic background fields.This work is done by the boundary state methods, in three cases of bosonic andfermionic boundary states and superstring partition function. By analyzing theobtained zero-modes in either of the cases, interesting results will beobtained. Our findings demonstrate the importance of the zero-mode and itseffects on the background fields and the defined internal properties of thedescribed system.

Investigation of Zero-Modes for a Dynamical D$p$-Brane