String Junctions and Holographic Interfaces

Abstract

In this paper we study half-BPS type IIB supergravity solutions with multiple $Ad{S}_3\times S^3\times M_4$ asymptotic regions, where $M_4$ is either $T^4$ or $K_3$. These solutions were first constructed in [1] and have geometries given by the warped product of $Ad{S}_2\times S^2\times M_4$ over $\Sigma$, where $\Sigma$ is a Riemann surface. We show that the holographic boundary has the structure of a star graph, i.e. $n$ half-lines joined at a point. The attractor mechanism and the relation of the solutions to junctions of self-dual strings in six-dimensional supergravity are discussed. The solutions of [1] are constructed introducing two meromorphic and two harmonic functions defined on $\Sigma$. We focus our analysis on solutions corresponding to junctions of three different conformal field theories and show that the conditions for having a solution charged only under Ramond-Ramond three-form fields reduce to relations involving the positions of the poles and the residues of the relevant harmonic and meromorphic functions. The degeneration limit in which some of the poles collide is analyzed in detail. Finally, we calculate the holographic boundary entropy for a junction of three CFTs and obtain a simple expression in terms of poles and residues.

54 pages, 6 figures, pdf-LaTeX, v2: minor changes

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• Holographic duals of Boundary CFTs
• Boundary entropy of supersymmetric Janus solutions
• Phases of Holographic Interfaces
• Entanglement entropy at CFT junctions
• Multi-faced Black Janus and Entanglement
• LREE of an Unstable Dressed-Dynamical D$p$-brane: Superstring Calculations
• Cobordism Conjecture in AdS
• Holographic entanglement entropy of surface defects
• A Defect in AdS3/CFT2 Duality