LREE of a Dressed D$p$-brane with Transverse Motion in the Partially Compact Spacetime

Abstract

In the context of the type IIA/IIB superstring theories, we derive the left-right entanglement entropy (LREE) of a BPS D$p$-brane with transverse motion in the presence of a $U(1)$ gauge potential and the Kalb-Ramond field in the partially compact spacetime ${\mathbf{T}}^n\otimes {\mathbb{R}}^{1,9-n}$. At first we employ the replica trick to compute the Rényi entropy and then we obtain the entanglement entropy. We examine the results for the special case, i.e. for the D6-brane. Besides, we investigate the thermodynamical entropy, associated with the LREE. This demonstrates that the LREE is precisely equivalent to its thermodynamic counterpart.

20 pages, LaTex2e, no figure

References in corpus (14)

• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Thermodynamical Property of Entanglement Entropy for Excited States
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Left-Right Entanglement Entropy of Boundary States
• Tachyon Condensation on a Nonstationary D$p$-brane with Background Fields in Superstring Theory
• Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields
• LREE of an Unstable Dressed-Dynamical D$p$-brane: Superstring Calculations
• String Entanglement and D-branes as Pure States
• Left/right entanglement and thermalization of time dependent plane wave Green-Schwarz superstring
• Left-Right Entanglement Entropy for a Dp-brane with Dynamics and Background Fields
• Radiation of a Massless Closed String from Interacting D$p$-branes with Background Fields in the Superstring Theory
• Brane with Transverse Rotation and Background Fields: Boundary State and Tachyon Condensation
• LREE of a Dynamical Unstable D$p$-brane
• Thermodynamics and Tachyon Condensation of the Dressed-Dynamical Unstable D$p$-branes