Elsevier

Nuclear Physics B

Volume 959, October 2020, 115143
Nuclear Physics B

LREE of a dynamical unstable Dp-brane

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Abstract

We derive the left-right entanglement entropy (LREE) for a bosonic Dp-brane. This brane has tangential dynamics and has been dressed by a U(1) gauge potential, the Kalb-Ramond field and a tachyon field. For this purpose, the Rényi entropy will be computed and then, by taking a special limit of it, the LREE will be obtained. Besides, the behavior of the LREE under the tachyon condensation process will be evaluated. In addition, after the transition of the system, i.e. the collapse of the unstable brane, the second law of the thermodynamics on the LREE will be checked. We find that preserving the second law imposes some conditions on the parameters of the setup.

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