Black Hole Formation in Fuzzy Sphere Collapse

Abstract

We study the collapse of a fuzzy sphere, that is a spherical membrane built out of D0-branes, in the BFSS 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 back-reaction 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.

27 pages, LaTeX, 2 figures. v2: additional references

References in corpus (2)

• Dynamical generation of fuzzy extra dimensions, dimensional reduction and symmetry breaking
• Dynamical tachyons on fuzzy spheres

Cited by in corpus (10)

• The smallest matrix black hole model in the classical limit
• Equilibration in low-dimensional quantum matrix models
• Matrix Thermalization
• Quantum Black Hole Formation in the BFSS Matrix Model
• Chaos from Equivariant Fields on Fuzzy $S^4$
• Fuzzy Schwarzschild (2+1)-spacetime
• From Black Hole to Qubits: Evidence of Fast Scrambling in BMN theory
• On Some Information-geometric aspects of Hawking radiation
• Fuzzy Black Holes from Mass Generation in Matrix Compactification
• Conformal Quivers and Melting Molecules