Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the conformal anomaly from higher derivative gravity in AdS/CFT
  correspondence   We follow to Witten proposal in the calculation of conformal anomaly from
d+1-dimensional higher derivative gravity via AdS/CFT correspondence. It is
assumed that some d-dimensional conformal field theories have a description in
terms of above d+1-dimensional higher derivative gravity which includes not
only Einstein term and cosmological constant but also curvature squared terms.
The explicit expression for two-dimensional and four-dimensional anomalies is
found, it contains higher derivative corrections. In particular, it is shown
that not only Einstein gravity but also theory with the Lagrangian
$L=aR^2+bR_{\mu\nu}R^{\mu\nu} + \Lambda$ (even when a=0 or b=0) is
five-dimensional bulk theory for d=4 ${\cal N}=4$ super Yang-Mills theory in
AdS/CFT correspondence. Similar d+1=3 theory with (or without) Einstein term
may describe d=2 scalar or spinor CFTs. That gives new versions of bulk side
which may be useful in different aspects. As application of our general
formalism we find next-to-leading corrections to the conformal anomaly of
${\cal N}=2$ supersymmetric theory from d=5 AdS higher derivative gravity (low
energy string effective action).

31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con