Geometric Surprises in the Python's Lunch Conjecture
arXiv:2401.06678 · doi:10.21468/SciPostPhys.16.6.152
Abstract
A bulge surface, on a time reflection-symmetric Cauchy slice of a holographic spacetime, is a non-minimal extremal surface that occurs between two locally minimal surfaces homologous to a given boundary region. According to the python's lunch conjecture of Brown et al., the bulge's area controls the complexity of bulk reconstruction, in the sense of the amount of post-selection that needs to be overcome for the reconstruction of the entanglement wedge beyond the outermost extremal surface. We study the geometry of bulges in a variety of classical spacetimes, and discover a number of surprising features that distinguish them from more familiar extremal surfaces such as Ryu-Takayanagi surfaces: they spontaneously break spatial isometries, both continuous and discrete; they are sensitive to the choice of boundary infrared regulator; they can self-intersect; and they probe entanglement shadows, orbifold singularities, and compact spaces such as the sphere in AdS. These features imply, according to the python's lunch conjecture, novel qualitative differences between complexity and entanglement in the holographic context. We also find, surprisingly, that extended black brane interiors have a non-extensive complexity; similarly, for multi-boundary wormhole states, the complexity pleateaus after a certain number of boundaries have been included.
arXiv commentExamples added and exposition improved; 62 pages
References in corpus (34)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- A Covariant Holographic Entanglement Entropy Proposal
- Black holes as mirrors: quantum information in random subsystems
- Information in Black Hole Radiation
- Quantum Extremal Surfaces: Holographic Entanglement Entropy beyond the Classical Regime
- Quantum corrections to holographic entanglement entropy
- Entanglement Renormalization and Holography
- Holographic quantum error-correcting codes: Toy models for the bulk/boundary correspondence
- Bubbling AdS space and 1/2 BPS geometries
- The Page curve of Hawking radiation from semiclassical geometry
- Reconstruction of Bulk Operators within the Entanglement Wedge in Gauge-Gravity Duality
- Relative entropy equals bulk relative entropy
- Holographic representation of local bulk operators
- Maximin Surfaces, and the Strong Subadditivity of the Covariant Holographic Entanglement Entropy
- Holographic Probes of Anti-de Sitter Spacetimes
- The Gravity Dual of a Density Matrix
- Causality & holographic entanglement entropy
- Time Dependence of Hawking Radiation Entropy
- A holographic proof of the strong subadditivity of entanglement entropy
- AdS Dynamics from Conformal Field Theory
- Quantum Computation vs. Firewalls
- Entwinement and the emergence of spacetime
- Holographic entanglement plateaux
- Massless black holes and black rings as effective geometries of the D1-D5 system
- Holography and wormholes in 2+1 dimensions
- The Library of Babel
- Entwinement in discretely gauged theories
- Holographic entanglement entropy and the internal space
- Entanglement entropy in three dimensional gravity
- A principle of maximum ignorance for semiclassical gravity
- Geometric Microstates for the Three Dimensional Black Hole?
- Python's Lunches in Jackiw-Teitelboim gravity with matter
- Definitions of entwinement
- Minimal surfaces with the area growth of two planes; the case of infinite symmetry