Complexity and typical microstates

Abstract

Typical black hole microstates in AdS/CFT were recently conjectured to have a geometrical dual with a smooth horizon and a portion of a second asymptotic region. I consider the application of the holographic complexity conjectures to this geometry. The holographic calculation leads to divergent values for the complexity; I argue that this classical divergence is consistent with expectations for typical microstates.

12 pages

References in corpus (7)

• Complexity and Shock Wave Geometries
• Gravitational action with null boundaries
• Black Hole Microstate Cosmology
• Switchbacks and the Bridge to Nowhere
• Pure states in the SYK model and nearly-$Ad{S}_2$ gravity
• Black Holes, Entanglement and Random Matrices
• Holographic Quantum Error Correction and the Projected Black Hole Interior

Cited by in corpus (5)

• Bounds on gravitational brane couplings and tomography in AdS3 black hole microstates
• Regularizations of Action-Complexity for a Pure BTZ Black Hole Microstate
• Chemistry and Complexity for Solitons in AdS${}_5$
• Holographic complexity: braneworld gravity versus the Lloyd bound
• Holographic entanglement entropy and complexity of microstate geometries