Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Flow equation, conformal symmetry and AdS geometry   We argue that the Anti-de-Sitter (AdS) geometry in d+1 dimensions naturally
emerges from an arbitrary conformal field theory in d dimensions using the free
flow equation. We first show that an induced metric defined from the flowed
field generally corresponds to the quantum information metric, called the Bures
or Helstrom metric, if the flowed field is normalized appropriately. We next
verify that the induced metric computed explicitly with the free flow equation
always becomes the AdS metric when the theory is conformal. We finally prove
that the conformal symmetry in d dimensions converts to the AdS isometry in d+1
dimensions after d dimensional quantum averaging. This guarantees the emergence
of AdS geometry without explicit calculation.

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The categories of this paper are: nlin
19
The categories of this paper are: eess
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: math