Journey to the Center of the Fuzzball

Abstract

We study two-charge fuzzball geometries, with attention to the use of the proper duality frame. For zero angular momentum there is an onion-like structure, and the smooth D1-D5 geometries are not valid for typical states. Rather, they are best approximated by geometries with stringy sources, or by a free CFT. For non-zero angular momentum we find a regime where smooth fuzzball solutions are the correct description. Our analysis rests on the comparison of three radii: the typical fuzzball radius, the entropy radius determined by the microscopic theory, and the breakdown radius where the curvature becomes large. We attempt to draw more general lessons.

22 pages, 1 figure

References in corpus (5)

• Fuzzballs with internal excitations
• A non-renormalization theorem for chiral primary 3-point functions
• Fuzzball solutions for black holes and D1-brane--D5-brane microstates
• Typicality versus thermality: An analytic distinction
• Spinning Strings as Small Black Rings

Cited by in corpus (5)

• Fuzzballs and Observations
• Sifting quantum black holes through the principle of least action
• Black Holes in Asymptotically Safe Gravity
• Counting D1-D5-P Microstates in Supergravity
• Resolving Black-Hole Microstructure with New Momentum Carriers