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

Abstract

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

22 pages, Latex, no figure

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• Closed String Radiation from the Interacting Fractional-Dressed D$p$-Branes with the Transverse Motions
• Gravitational and Dilatonic Radiations from the Parallel Dressed-Dynamical Unstable Dp-Branes
• The Inflationary Dynamics with the Scalar-Tensor Model
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• Closed String Radiation from the Interaction of the Moving D$p$-branes with Background Fields
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes
• Open String Pair Production from the Interacting Dressed-Angled D-Strings
• Pair Production of the Open Superstrings from the Parallel-dressed D3-branes in the Compact Spacetime
• Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes