Gauged M-flation After BICEP2
  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 $2\sigma$ 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 $r\simeq
0.2$, which sits in the sweet spot of BICEP2 region for $r$. We find that with
increasing $\mu$ arbitrarily, $n_S$ cannot go beyond $\simeq 0.9670$. As $n_S$
varies in the $2\sigma$ 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, $\phi< \mu$.
