Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Review of the Holographic Relation between Linearized Gravity and the
  First Law of Entanglement Entropy   This thesis reviews the conjectured holographic relation between entanglement
and gravity due to Mark van Raamsdonk and collaborators. It is accounted how
the linearized Einstein equations both with and without matter in a
d+1-dimensional AdS background can be derived from the first law of
entanglement entropy in a d-dimensional CFT. This derivation builds on the
Ryu-Takayanagi formula that relates entanglement entropy for CFT subsystems to
extremal surfaces in the AdS bulk. The relation between gravity and
entanglement is also corroborated by a qualitative investigation of the duality
between the thermofield double state and the maximally extended
AdS/Schwarzschild black hole using the Bekenstein-Hawking formula. Furthermore,
this qualitative argument is generalized to generic CFT states with a classical
spacetime dual using the Ryu-Takayanagi. The thesis also reviews the most
relevant prerequisites for this holographic relation between gravity and
entanglement: Anti-de Sitter spacetime, entanglement and entanglement entropy,
gauge/gravity duality, the Ryu-Takayanagi formula, and linearized gravity.

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The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
19
The categories of this paper are: eess
5
The categories of this paper are: gr-qc