Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic c-theorems and higher derivative gravity   In AdS/CFT, the holographic Weyl anomaly computation relates the a-anomaly
coefficient to the properties of the bulk action at the UV fixed point. This
universal behavior suggests the possibility of a holographic c-theorem for the
a-anomaly under flows to the IR. We prove such a c-theorem for higher curvature
Lovelock gravity, where the bulk equations of motion remain second order. We
also explore f(R) gravity as a toy model where higher derivatives cannot be
avoided. In this case, monoticity of the flow requires an additional condition
related to the higher derivative nature of the theory. This is in contrast to
the case of f(R) black hole entropy, where the second law follows from
application of the full Einstein equations and the null energy condition.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg