Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Mode analysis of cosmological perturbations with the $E$-model
  $\alpha$-attractor inflaton potentials   We have carried out detailed $k$-mode analysis of single-inflaton slow-roll
inflationary perturbations including quantum fluctuations by setting up
non-linear coupled differential equations of inflaton field ($\phi$), its
perturbation ($\delta\phi$) and the metric perturbation (the Bardeen potential,
$\Phi_B$), and calculated the number of e-folds ($N$), scalar spectral index
($n_s$), tensor spectral index ($n_h$), scalar power spectrum ($\Delta_s$),
tensor power spectrum ($\Delta_h$), tensor-to-scalar ratio ($r$) and the Hubble
parameter ($H$) for different $k$ values at the horizon crossing. In these
calculations we have employed the $E$-model $\alpha$-attractor potentials which
are found to display slow-roll behaviour. The values of $n_s$ and $r$ obtained
by us are consistent with those given by the well-known universal
$\alpha$-attractor formulae. We got $n_s = 0.956908$ and $r= 0.005571 $ at $k =
10^6$ Planck unit for the value of the potential parameter $n = 1$. These can
be compared with the Planck-2018 data viz., $n_s = 0.9649\pm 0.0042$ at $68\%$
CL, $r<0.064$ at $95\%$ CL and ACT-2020 data viz., $n_s = 0.9691\pm 0.0041$ at
$68\%$ CL.

13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
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The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
2
The categories of this paper are: math