Journal Article10.1103/physrevd.108.086019
Causal connectability between quantum systems and the black hole interior in holographic duality
Samuel Leutheusser,Hong Liu +1 more
TL;DR: Holographic duality between quantum systems and the black hole interior explores the connection between quantum systems and the black hole interior using holographic duality. It constructs an evolution operator for a bulk in-falling observer and finds that the emergence of the sharp bulk event horizon is related to the infinite N limit of the boundary theory.
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Abstract: In a series of two papers, the authors explore the holographic duality between an eternal AdS black hole in the bulk and two copies of the boundary CFT in the thermal field double state. They provide an explicit construction in the boundary theory of an evolution operator for a bulk in-falling observer, thus making manifest the boundary emergence of the black hole horizons, the interiors, and the associated causal structure. They also elucidate that the emergence of the sharp bulk event horizon is related to the infinite N limit of the boundary theory.
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Figures
FIG. 9. When a bulk field ϕRðX1Þ with X1 ∈R is transported by a null Kruskal coordinate distance −U1 þU2 (since U1 < 0), it enters the light cone of ϕLðX2Þ. The shaded region is a cartoon for the spread of ΦðX1; sÞ. The orange dashed lines are event horizons, and the purple dashed lines give the light cones of X2. The boundaries and singularities suppressed in the figure. 
FIG. 2. Rindler regions of Minkowski spacetime. 
FIG. 4. AdS Rindler regions of the bulk spacetime. The vertical lines denote the boundary and the dashed lines are Rindler horizons. 
FIG. 11. The counterparts of Fig. 10 when using N as in the right plot of Fig. 6. 
FIG. 10. The left plot gives trajectories of (5.6). The right plot gives constant s surfaces evolved from the η ¼ 0 slice. The orange dashed lines are the event horizons, black solid lines are the boundaries, while the red solid lines are the singularities. 
FIG. 1. The Penrose diagram of an eternal black hole. The dashed lines are event horizons and the wavy lines are the singularities. Two observers from R and L can meet and interact behind the horizon despite the fact that there is no interaction between the left and right CFTs.
Citations
Emergent times in holographic duality
Samuel Leutheusser,Hong Liu +1 more
- 12 Oct 2023
TL;DR: Researchers explore holographic duality between AdS black hole and boundary CFT, constructing an evolution operator for in-falling observers and elucidating the emergence of bulk event horizons in the infinite N limit of the boundary theory.
64
Generalized entropy for general subregions in quantum gravity
Kristan Jensen,Jonathan Sorce,Antony J. Speranza +2 more
TL;DR: The entropy of states on subregions in quantum gravity is finite and agrees with the generalized entropy.
A symmetry algebra in double-scaled SYK
Henry Lin,Douglas Stanford +1 more
TL;DR: The double-scaled SYK model has a symmetry algebra that is a deformation of the JT gravitational algebra and contains a subalgebra that is a deformation of the \mathfrak{sl}_2尔斯.
A background-independent algebra in quantum gravity
TL;DR: Researchers propose a background-independent algebra in quantum gravity, defining entropy as relative entropy with the Hartle-Hawking no boundary state, yielding sensible results for de Sitter vacua with varying cosmological constants.
Interior structure and complexity growth rate of holographic superconductor from M-theory
TL;DR: In this paper , the interior dynamics of a top-down holographic superconductor from M-theory is studied and the transformation rule for the alternation of different Kasner epochs towards the singularity is analyzed.
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