Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotic critical behavior of holographic phase transition at finite
  topological charge -- a potentially new quantum phase transition at finite
  chemical potential   The asymptotic critical behavior at large chemical potential of the conformal
field living at the AdS boundary of a four-dimensional spacetime Einstein
gravity is investigated analytically. The threshold values of the chemical
potential for the appearance of condensate states are discrete, equal spacing,
with the gap approaches zero logarithmically in the limit $T\rightarrow 0$.
Remarkably, numerical results show that, this behavior applies even for states
with low quantum number, as low as for the first or second excited states of
the condensate, especially on the liquid side of the black hole van der Waals -
like phase transition (small or zero topological charge). We postulate that, at
the exact limit $T = 0$ where the gap is zero, the spectrum of threshold
chemical potentials becomes continuous, all excite states of the condensate are
activated above a finite chemical potential, suggesting a new quantum phase
transition as a function of the chemical potential. Previous studies have
largely missed this continuous spectrum of excited states in the $T\rightarrow
0$ limit.

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The categories of this paper are: solv-int
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
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The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom