2010/10/31 by Marco Chiodaroli, Michael Gutperle, Ling-Yan Hung +1 · 19 citations
Mathematics · Physics and Astronomy · #Attractor #Black Holes and Theoretical Physics #Conformal map #Cosmology and Gravitation Theories #Holography #Mathematical analysis #Mathematical physics #Mathematics #Meromorphic function #Noncommutative and Quantum Gravity Theories #Physics #Pure mathematics #Quantum mechanics #Riemann surface #String (physics) #Supergravity #Supersymmetry #hep-th
paper · pdf · doi:10.1103/physrevd.83.026003
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 83(2) (American Physical Society) · 54 pages, 6 figures, pdf-LaTeX, v2: minor changes
arxiv created 2010/11/22 · openalex publication_date 2011/01/05 · arxiv updated 2011/02/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper we study half-BPS type IIB supergravity solutions with multiple AdS3\ifmmode×\else\texttimes\fiS3\ifmmode×\else\texttimes\fiM4 asymptotic regions, where M4 is either T4 or K3. These solutions were first constructed in [M. Chiodaroli, M. Gutperle, and D. Krym, J. High Energy Phys. 02 (2010) 066.] and have geometries given by the warped product of AdS2\ifmmode×\else\texttimes\fiS2\ifmmode×\else\texttimes\fiM4 over \ensuremathΣ, where \ensuremathΣ 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 [M. Chiodaroli, M. Gutperle, and D. Krym, J. High Energy Phys. 02 (2010) 066.] are constructed introducing two meromorphic and two harmonic functions defined on \ensuremathΣ. 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.