Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Holographic conductivity in the massive gravity with power-law Maxwell
  field   We obtain a new class of topological black hole solutions in
$(n+1)$-dimensional massive gravity in the presence of the power-Maxwell
electrodynamics. We calculate the conserved and thermodynamic quantities of the
system and show that the first law of thermodynamics is satisfied on the
horizon. Then, we investigate the holographic conductivity for the four and
five dimensional black brane solutions. For completeness, we study the
holographic conductivity for both massless ($m=0$) and massive ($m \neq 0$)
gravities with power-Maxwell field. The massless gravity enjoys translational
symmetry whereas the massive gravity violates it. For massless gravity, we
observe that the real part of conductivity, $\mathrm{Re}[\sigma]$, decreases as
charge $q$ increases when frequency $\omega $ tends to zero, while the
imaginary part of conductivity, $\mathrm{Im}[\sigma ]$, diverges as $\omega
\rightarrow 0$. For the massive gravity, we find that $\mathrm{Im}[\sigma ]$ is
zero at $\omega =0$ and becomes larger as $q$\ increases (temperature
decreases), which is in contrast to the massless gravity. Interestingly, we
observe that in contrast to the massless case, $\mathrm{Re}[\sigma ]$ has a
maximum value at $\omega =0$ (known as the Drude peak) for $p=\left( n+1\right)
/4$ (conformally invariant electrodynamics) where $p$ is the power parameter of
the power-law Maxwell field and this maximum increases with increasing $q$.
Finally, we show that for high frequencies, the real part of the holographic
conductivity have the power law behavior in terms of frequency, $\omega ^{a}$
where $a \propto (n+1-4p)$. Some similar behaviors for high frequencies in
possible dual CFT systems have been reported in experimental observations.

22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
21
The categories of this paper are: adap-org
2
The categories of this paper are: math
0
The categories of this paper are: hep-ph
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
12
The categories of this paper are: nucl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph