Abstract
We obtain the left-right entanglement entropy (LREE) for a Dp-brane with tangential motion in the presence of a U(1) gauge potential, the Kalb–Ramond field and an open string tachyon field. Thus, at first we extract the Rényi entropy and then by taking a special limit of it we acquire the entanglement entropy. We shall investigate the behavior of the LREE under the tachyon condensation phenomenon. We observe that the deformation of the LREE, through this process, reveals the collapse of the brane. Besides, we examine the second law of thermodynamics for the LREE under tachyon condensation, and we extract the imposed constraints. Note that our calculations will be in the context of the type IIA/IIB superstring theories.
Highlights
Entanglement is one of the essential features of quantum mechanics
Because of the resemblance between the thermal and entanglement entropies [47,48,49,50,51], we investigate the second law of thermodynamics for the left-right entanglement entropy (LREE) through tachyon condensation process
In the context of the type IIA/IIB superstring theories we investigated the left-right entanglement entropy of a nonBPS unstable D p-brane
Summary
Entanglement is one of the essential features of quantum mechanics. It correlates subsystems of a composite quantum system such that the quantum state of each subsystem cannot be described independently of the quantum states of the other subsystems. We shall investigate the LREE of a special D p-brane via the associated boundary state to it. The early works were done by Zayas and Quiroz They studied the LREE, associated with a one-dimensional boundary state, in a 2D CFT [8]. They developed their analysis to a bare-static D p-brane [9]. Because of the resemblance between the thermal and entanglement entropies [47,48,49,50,51], we investigate the second law of thermodynamics for the LREE through tachyon condensation process.
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