A novel way of constraining the α-attractor chaotic inflation through Planck data
نویسندگان
چکیده
Defining a scale of $k$-modes the quantum fluctuations during inflation through dynamical horizon crossing condition $k = aH$ we go from physical $t$ variable to $k$ and solve equations cosmological first-order perturbations self consistently, with chaotic $\alpha$-attractor type potentials. This enables us study behaviour $n_{s}$, $r$, $n_{t}$ $N$ in $k$-space. Comparison our results low-$k$ regime Planck data puts constraints on values $\alpha$ parameter microscopic calculations. Recent studies had already put model-dependent hyperbolic geometry Poincar\'{e} disk: consistent both maximal supergravity model $\mathcal{N}=8$ minimal $\mathcal{N}=1$, are $\frac{1}{3}$, $\frac{2}{3}$, 1, $\frac{4}{3}$, $\frac{5}{3}$, 2, $\frac{7}{3}$. The $\mathcal{N}=1$ supersymmetric models $B$-mode targets, derived these models, predicted $r$ between $10^{-2}$ $10^{-3}$. Both $E$-model $T$-model potentials, have obtained, calculations, this range for all constrained stated above, within $68\%$ CL. Moreover, calculated some other possible low-$\alpha$ limit, using formula $r=\frac{12\alpha}{N^{2}}$, high-$\alpha$ $r=\frac{4n}{N}$, $n=2$ $4$. With such $\alpha$, match Planck-2018 or near $95\%$
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ژورنال
عنوان ژورنال: Journal of Cosmology and Astroparticle Physics
سال: 2021
ISSN: ['1475-7516', '1475-7508']
DOI: https://doi.org/10.1088/1475-7516/2021/11/029