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.

arXiv comment22 pages, Latex, no figure

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• The Inflationary Quartic Hilltop Model in a Modified Gravity and Its Comparison with the Observations
• 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
• Radiation of a Massless Closed String from Interacting D$p$-branes with Background Fields in the Superstring Theory
• Observational Restrictions and Slow-Roll D-brane Inflation in the Special $F(\varphi ,T)$ Gravity
• The Inflationary Dynamics with the Scalar-Tensor Model
• Closed String Radiation from the Interaction of the Moving D$p$-branes with Background Fields
• Open String Pair Production from the Interacting Dressed-Angled D-Strings
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes
• Pair Production of the Open Superstrings from the Parallel-dressed D3-branes in the Compact Spacetime
• LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime
• Pair Creation of Open Strings between the Unstable-Dressed D$p$-branes