Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact holographic RG flows and the $A_{1}\times A_{1}$ Toda chain   We construct analytic solutions of Einstein gravity coupled to a dilaton
field with a potential given by a sum of two exponentials, by rewriting the
equations of motion in terms of an integrable Toda chain. These solutions can
be interpreted as domain walls interpolating between different asymptotics, and
as such they can have interesting applications in holography. In some cases, we
can construct a solution which interpolates between an AdS fixed point in the
UV limit and a hyperscaling violating boundary in the IR region. We also find
analytic black brane solutions at finite temperature. We discuss the properties
of the solutions and the interpretation in terms of RG flow.

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The categories of this paper are: solv-int
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The categories of this paper are: eess
37
The categories of this paper are: supr-con
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
18
The categories of this paper are: econ