M-flation: Inflation From Matrix Valued Scalar Fields

TL;DR

M-flation is a string-inspired inflation model where matrix-valued scalar fields drive inflation, naturally avoiding fine-tuning issues and predicting observable gravitational waves and isocurvature perturbations.

Contribution

The paper introduces M-flation, a novel inflationary scenario using matrix-valued scalar fields from string theory, with unique dynamics and observational predictions.

Findings

Effective super-Planckian inflaton field achieved

No fine-tuning of small couplings needed

Predicts observable gravitational waves and isocurvature perturbations

Abstract

We propose an inflationary scenario, M-flation, in which inflation is driven by three $N\times N$ hermitian matrices $\Phi_i, i=1,2,3$. The inflation potential of our model, which is strongly motivated from string theory, is constructed from $\Phi_{i}$ and their commutators. We show that one can consistently restrict the classical dynamics to a sector in which the $\Phi_i$ are proportional to the $N\times N$ irreducible representations of SU(2). In this sector our model effectively behaves as an N-flation model with $3 N^2$ number of fields and the effective inflaton field has a super-Planckian field value. Furthermore, the fine-tunings associated with unnaturally small couplings in the chaotic type inflationary scenarios are removed. Due to the matrix nature of the inflaton fields there are $3N^2-1$ extra scalar fields in the dynamics. These have the observational effects such as production of iso-curvature perturbations on cosmic microwave background. Moreover, the existence of these extra scalars provides us with a natural preheating mechanism and exit from inflation. As the effective inflaton field can traverse super-Planckian distances in the field space, the model is capable of producing a considerable amount of gravity waves that can be probed by future CMB polarization experiments such as PLANCK, QUIET and CMBPOL.