LREE of a Dynamical Unstable D$p$-brane

Abstract

We derive the left-right entanglement entropy (LREE) for a bosonic D$p$-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.

17 pages, Latex2e, no figure

References in corpus (7)

• Thermodynamical Property of Entanglement Entropy for Excited States
• Thermalization and Revivals after a Quantum Quench in Conformal Field Theory
• Tachyon Condensation on a Nonstationary D$p$-brane with Background Fields in Superstring Theory
• Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields
• String Entanglement and D-branes as Pure States
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Cited by in corpus (1)

• LREE of an Unstable Dressed-Dynamical D$p$-brane: Superstring Calculations