Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A leading-order comparison between fluid-gravity and membrane-gravity
  dualities   In this note, we have compared two different perturbation techniques that are
used to generate dynamical black-brane solutions to Einstein equation in
presence of negative cosmological constant. One is the `derivative expansion',
where the gravity solutions are in one-to-one correspondence with the solutions
of relativistic Navier-Stokes equation. The second is the expansion in terms of
inverse power of space-time dimensions and here the gravity solutions are dual
to a co-dimension one dynamical membrane, embedded in AdS space and coupled to
a velocity field. We have shown that in large number of space-time dimensions,
there exists an overlap regime between these two perturbation techniques and we
matched the two gravity solutions along with their dual systems upto the first
non-trivial order in the expansion parameter on both sides. In the process, we
established a one-to-one map between dynamical black-brane geometry and the AdS
space, which exists even when the number of dimensions is finite.

19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
35
The categories of this paper are: mtrl-th