Entanglement entropy at CFT junctions

Abstract

We consider entanglement through permeable junctions of $N$ $(1+1)$-dimensional free boson and free fermion conformal field theories. In the folded picture we constrain the form of the general boundary state. We calculate replicated partition functions with interface operators inserted in the partially-folded picture, from which the entanglement entropy is calculated. The functional form of the universal and constant terms are the same as the $N=2$ case, depending only of the total transmission of the junction and the unit volume of the zero mode lattice. For $N>2$ we see a sub-leading divergent term which does not depend on the parameters of the junction. For $N=3$ we consider some specific geometries and discuss various limits.

51 pages, 6 figures

References in corpus (8)

• Topological defects for the free boson CFT
• Fusion of conformal interfaces
• Entanglement through conformal interfaces
• Left-Right Entanglement Entropy of Boundary States
• String Junctions and Holographic Interfaces
• Left-Right Entanglement Entropy, D-Branes, and Level-rank duality
• Entanglement Entropy and Boundary Conditions in 1+1 Dimensions
• Left-Right Entanglement Entropy of Dp-branes

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• Rényi entropy and negativity for massless complex boson at conformal interfaces and junctions
• Zero-mode entanglement across a conformal defect
• On the topological and crosscap entropies in non-oriented RCFTs
• Entanglement Entropy from TFD Entropy Operator
• Electrostatic solution of massless quenches in Luttinger liquids