TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.16.6.152
TI  - Geometric surprises in the Python's lunch conjecture
PY  - 2024/06/12
UR  - https://scipost.org/SciPostPhys.16.6.152
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 16
IS  - 6
SP  - 152
A1  - Arora, Gurbir
AU  - Headrick, Matthew
AU  - Lawrence, Albion
AU  - Sasieta, Martin
AU  - Wolfe, Connor
AB  - 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$_p× S^q$. 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.
ER  -

@Article{10.21468/SciPostPhys.16.6.152,
	title={{Geometric surprises in the Python's lunch conjecture}},
	author={Gurbir Arora and Matthew Headrick and Albion Lawrence and Martin Sasieta and Connor Wolfe},
	journal={SciPost Phys.},
	volume={16},
	pages={152},
	year={2024},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.16.6.152},
	url={https://scipost.org/10.21468/SciPostPhys.16.6.152},
}