Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On $AdS_2$ holography from redux, renormalization group flows and
  $c$-functions   Extremal black branes upon compactification in the near horizon throat region
are known to give rise to $AdS_2$ dilaton-gravity-matter theories. Away from
the throat region, the background has nontrivial profile. We interpret this as
holographic renormalization group flow in the 2-dim dilaton-gravity-matter
theories arising from dimensional reduction of the higher dimensional theories
here. The null energy conditions allow us to formulate a holographic c-function
in terms of the 2-dim dilaton for which we argue a c-theorem subject to
appropriate boundary conditions which amount to restrictions on the ultraviolet
theories containing these extremal branes. At the infrared $AdS_2$ fixed point,
the c-function becomes the extremal black brane entropy. We discuss the
behaviour of this inherited c-function in various explicit examples, in
particular compactified nonconformal branes, and compare it with other
discussions of holographic c-functions. We also adapt the holographic
renormalization group formulated in terms of radial Hamiltonian flow to 2-dim
dilaton-gravity-scalar theories, which while not Wilsonian, gives qualitative
insight into the flow equations and $\beta$-functions.

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The categories of this paper are: chem-ph
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The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
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The categories of this paper are: stat
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The categories of this paper are: q-fin
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg