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Ryu–Takayanagi formula
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Branches of physics
String theory
Gauge-gravity duality
AdS/CFT correspondence
Holographic dictionary
Holographic entanglement entropy
2026-09-24
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For
a
static holographic state and boundary region
A
,
S
(
A
)
=
4
G
N
Area
(
γ
A
)
,
(1)
where
γ
A
is the least-
area
bulk
surface
homologous to
A
and anchored on
∂
A
.
Table of contents
Ryu–Takayanagi surface for a disk
Ryu–Takayanagi formula
Ryu–Takayanagi surface for a disk
0
0
0
Ryu–Takayanagi formula
For
a
round disk of
radius
R
in the
vacuum
of
a
holographic
conformal field theory
on flat
space
, the static Poincare-AdS Ryu--Takayanagi
surface
is the hemisphere
r
2
+
z
2
=
R
2
.
Ancestors
(8)
Holographic entanglement entropy
Holographic dictionary
AdS/CFT correspondence
Gauge-gravity duality
String theory
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Past exam of the mathematics course of the University of Cambridge
/
2021
/
iii
/
Paper 354
/
2
/
a
/
ii
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2022
/
iii
/
Paper 354
/
2
/
a
/
Solution
Past exam of the mathematics course of the University of Cambridge
/
2025
/
iii
/
Paper 354
/
2
/
a
/
Solution
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