We investigate the left-right entanglement entropy of a boundary state, corresponding to a dynamical D$p$-brane with the internal and background fields. We assume that the brane has a tangential linear motion and a rotation, and is dressed with an internal $U(1)$ gauge potential and the Kalb-Ramond tensor field $B_{ \mu\nu}$. We derive the entanglement entropy via the R\'{ e}nyi entropy by applying the replica trick. Our calculations will be in the context of the bosonic string theory.
Categories: hep-th hep-ph