Energy Transport for Thick Holographic Branes

Abstract

Universal properties of two-dimensional conformal interfaces are encoded by the flux of energy transmitted and reflected during a scattering process. We develop an innovative method that allows us to use results for the energy transmission in thin-brane holographic models to find the energy transmission for general smooth domain-wall solutions of three-dimensional gravity. Our method is based on treating the continuous geometry as a discrete set of branes. As an application, we compute the transmission coefficient of a Janus interface in terms of its deformation parameter.

arXiv comment7 pages, 3 figures; v2: journal version

References in corpus (60)

• Large N Field Theories, String Theory and Gravity
• The Einstein Equations on the 3-Brane World
• Replica Wormholes and the Entropy of Hawking Radiation
• The entropy of bulk quantum fields and the entanglement wedge of an evaporating black hole
• The entropy of Hawking radiation
• Locally Localized Gravity
• Holographic Dual of BCFT
• Universal Aspects of Gravity Localized on Thick Branes
• Novel Local CFT and Exact Results on Perturbations of N=4 Super Yang Mills from AdS Dynamics
• Holography and Defect Conformal Field Theories
• Quantum dynamics of impurities in a 1D Bose gas
• Exact Conductance through Point Contacts in the $\nu =1/3$ Fractional Quantum Hall Effect
• The domain-wall/QFT correspondence
• Boundary conformal field theory approach to the two-dimensional critical Ising model with a defect line
• Permeable conformal walls and holography
• A Dilatonic Deformation of AdS_5 and its Field Theory Dual
• Fake Supergravity and Domain Wall Stability
• Conformal field theory out of equilibrium: a review
• Correlation Functions in Holographic RG Flows
• Tunneling in Quantum Wires: a Boundary Conformal Field Theory Approach
• Reflection and Transmission for Conformal Defects
• Defects in conformal field theory
• Localized Gravity in String Theory
• Fusion of conformal interfaces
• Quantum Extremal Islands Made Easy, PartIII: Complexity on the Brane
• Holographic Calculation of Boundary Entropy
• Spin-2 spectrum of defect theories
• Three dimensional Janus and time-dependent black holes
• Islands and Page curves in 4d from Type IIB
• On Holographic Defect Entropy
• Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories
• Holographic Complexity for Defects Distinguishes Action from Volume
• Spin- and charge-density oscillations in spin chains and quantum wires
• Energy Reflection and Transmission at 2D Holographic Interfaces
• Solving quantum impurity problems in and out of equilibrium with variational approach
• Sailing past the End of the World and discovering the Island
• Topological defects and Goldstone excitations in domain walls between ferromagnetic quantum Hall effect liquids
• Unitarity of Entanglement and Islands in Two-Sided Janus Black Holes
• Entanglement Entropy in a Holographic Kondo Model
• Colliders and conformal interfaces
• Boundary entropy of supersymmetric Janus solutions
• Phases of Holographic Interfaces
• Complexity in the presence of a boundary
• Non-Equilibrium Conformal Field Theories with Impurities
• Does Boundary Distinguish Complexities?
• Entanglement entropy at holographic interfaces
• ${\text{AdS}}_2\times {\text{S}}^2\times {\text{CY}}_2$ solutions in Type IIB with 8 supersymmetries
• Geometric Defects in Quantum Hall States
• Janus Black Holes
• Universal relations for holographic interfaces
• Volume complexity for Janus ${\mathrm{AdS}}_3$ geometries
• Steady States of Holographic Interfaces
• A note on entanglement entropy and regularization in holographic interface theories
• Action complexity in the presence of defects and boundaries
• Islands and Light Gravitons in type IIB String Theory
• Volume complexity for the non-supersymmetric Janus AdS${}_5$ geometry
• Janus solutions in three-dimensional N=8 gauged supergravity
• Double brane holographic model dual to 2d ICFTs
• Spin-$2$ operators in AdS${}_2$/CFT${}_1$
• Holographic Entropy and Calabi's Diastasis

Cited by in corpus (6)

• Constraining braneworlds with entanglement entropy
• Transport across interfaces in symmetric orbifolds
• Splitting interfaces in 4d $\mathcal{N}=4$ SYM
• Holographic Weak Measurement
• Binary AdS black holes coupled to a bath in Type IIB
• Dissipation meets conformal interface in open quantum systems: How the relaxation rate is suppressed