Abstract
We argue that there may arise a relatively flat inflaton potential over super-Planckian field values with an approximate shift symmetry, if the coefficients of the kinetic terms for many singlet scalars are subject to a certain random distribution. The inflation takes place along the flat direction with a super-Planckian length, whereas the other light directions can be stabilized by the Hubble-induced mass. The inflaton potential generically contains various shift-symmetry breaking terms, leading to a possibly large deviation of the predicted values of the spectral index and tensor-to-scalar ratio from those of the simple quadratic chaotic inflation. We revisit a polynomial chaotic inflation in supergravity as such.
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Nakayama, K., Takahashi, F. & Yanagida, T.T. Kinetic term anarchy for polynomial chaotic inflation. J. High Energ. Phys. 2014, 14 (2014). https://doi.org/10.1007/JHEP09(2014)014
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DOI: https://doi.org/10.1007/JHEP09(2014)014