Gauged M-flation after BICEP2

DOI10.1016/J.PHYSLETB.2014.11.018zbMATH Open1306.83075arXiv1405.1685OpenAlexW2163956781MaRDI QIDQ2257258

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Publication date: 24 February 2015

Published in: (Search for Journal in Brave)

Abstract: In view of the recent BICEP2 results [arXiv:1403.3985] which may be attributed to the observation of B-modes polarization of the CMB with tensor-to-scalar ratio $r=0.2_{-0.05}^{+0.07}$, we revisit M-flation model. Gauged M-flation is a string theory motivated inflation model with Matrix valued scalar inflaton fields in the adjoint representation of a $U(N)$ Yang-Mills theory. In continuation of our previous works, we show that in the M-flation model induced from a supersymmetric 10d background probed by a stack of $N$ D3-branes, the "effective inflaton" $phi$ has a double-well Higgs-like potential, with minima at $phi=0,mu$. We focus on the $phi>mu$, symmetry-breaking region. We thoroughly examine predictions of the model for $r$ in the $2sigma$ region allowed for $n_S$ by the Planck experiment. As computed in [arXiv:0903.1481], for $N_e=60$ and $n_S=0.96$ we find $rsimeq0.2$, which sits in the sweet spot of BICEP2 region for $r$. We find that with increasing $mu$ arbitrarily, $n_S$ cannot go beyond $simeq0.9670$. As $n_S$ varies in the $2sigma$ range which is allowed by Planck and could be reached by the model, $r$ varies in the range $[0.1322,0.2623]$. Future cosmological experiments, like the CMBPOL, that confines $n_S$ with $sigma(n_S)=0.0029$ can constrain the model further. Also, in this region of potential, for $n_S=0.9603$, we find that the largest isocurvature mode, which is uncorrelated with curvature perturbations, has a power spectrum with the amplitude of order $10^{-11}$ at the end of inflation. We also discuss the range of predictions of $r$ in the hilltop region, $phi<mu$.

Full work available at URL: https://arxiv.org/abs/1405.1685

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