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.

arXiv comment20 pages, LaTex2e, no figure

References in corpus (52)

• Holographic Derivation of Entanglement Entropy from AdS/CFT
• Entanglement Entropy and Quantum Field Theory
• Microscopic Origin of the Bekenstein-Hawking Entropy
• Entanglement in quantum critical phenomena
• Topological entanglement entropy
• Aspects of Holographic Entanglement Entropy
• Entropy and Area
• Four-dimensional String Compactifications with D-Branes, Orientifolds and Fluxes
• Universal slow growth of entanglement in interacting strongly disordered systems
• Brane Dynamics From the Born-Infeld Action
• General Relationship Between the Entanglement Spectrum and the Edge State Spectrum of Topological Quantum States
• EXTREMAL BLACK HOLES AND ELEMENTARY STRING STATES
• Relative Entropy and Holography
• Yukawa couplings in intersecting D-brane models
• Thermodynamical Property of Entanglement Entropy for Excited States
• Entanglement Temperature and Entanglement Entropy of Excited States
• Classical p-branes from boundary state
• Light-cone supersymmetry and D-branes
• Intersecting Brane Worlds -- A Path to the Standard Model ?
• Edge theory approach to topological entanglement entropy, mutual information and entanglement negativity in Chern-Simons theories
• Supersymmetric Gauge Theories, Intersecting Branes and Free Fermions
• Phase transition of holographic entanglement entropy in massive gravity
• Boundary states for moving D-branes
• Quiver Theories from D6-branes via Mirror Symmetry
• Universal features of left-right entanglement entropy
• Branes, Orientifolds and the Creation of Elementary Strings
• Measuring Black Hole Formations by Entanglement Entropy via Coarse-Graining
• Entanglement Entropies in Conformal Systems with Boundaries
• Branes with Background Fields in Boundary State Formalism
• Supergravity Duals of Noncommutative Wrapped D6 Branes and Supersymmetry without Supersymmetry
• Left-Right Entanglement Entropy of Boundary States
• Mixed Branes Interaction in Compact Spacetime
• The Massive Kaluza-Klein Monopole
• Axion production from gravitons off interacting 0-branes
• Rotating and Moving D-Branes in the Presence of Various Background Fields
• Entanglement and topological interfaces
• Tachyon Condensation on a Nonstationary D$p$-brane with Background Fields in Superstring Theory
• General Target Space Duality and Its Effects on D-branes
• T-Duality and Mixed Branes
• T-duality and Noncommutative DBI Action
• Moving Mixed Branes in Compact Spacetime
• Fractional-Wrapped Branes with Rotation, Linear Motion and Background Fields
• The lift of type IIA supergravity with D6 sources: M-theory with torsion
• String Entanglement and D-branes as Pure States
• LREE of an Unstable Dressed-Dynamical D$p$-brane: Superstring Calculations
• Entanglement Entropy in the $\sigma$-Model with the de Sitter Target Space
• 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