2013/06/24 by Norihiro Iizuka, Daniel Kabat, Shubho Roy +1 · 13 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Classical mechanics #Computer science #Cosmology and Gravitation Theories #Fuzzy sphere #Geometry #Mathematical physics #Mathematics #Noncommutative and Quantum Gravity Theories #Physics #Point (geometry) #RADIUS #SPHERES #String (physics) #Theoretical physics #hep-th
paper · pdf · doi:10.1103/physrevd.88.044019
published in Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields 88(4) (American Physical Society) · 27 pages, LaTeX, 2 figures. v2: additional references
arxiv created 2013/06/24 · openalex publication_date 2013/08/08 · arxiv updated 2013/08/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We study the collapse of a fuzzy sphere, that is a spherical membrane built out of D0-branes, in the Banks-Fischler-Shenker-Susskind model. At weak coupling, as the sphere shrinks, open strings are produced. If the initial radius is large then open string production is not important and the sphere behaves classically. At intermediate initial radius the backreaction from open string production is important but the fuzzy sphere retains its identity. At small initial radius the sphere collapses to form a black hole. The crossover between the later two regimes is smooth and occurs at the correspondence point of Horowitz and Polchinski.