Abstract
In this paper I provide a general framework based on δN formalism to study the features of unavoidable higher dimensional non-renormalizable Kähler operators for \( \mathcal{N} \) = 1 supergravity (SUGRA) during primordial inflation from the combined constraint on non-Gaussianity, sound speed and CMB dipolar asymmetry as obtained from the recent Planck data. In particular I study the nonlinear evolution of cosmological perturbations on large scales which enables us to compute the curvature perturbation, ζ, without solving the exact perturbed field equations. Further I compute the non-Gaussian parameters f N L , τ N L and \( {g_{{N\,L}}} \) for local type of non-Gaussianities and CMB dipolar asymmetry parameter, A CM B , using the δN formalism for a generic class of sub-Planckian models induced by the Hubble-induced corrections for a minimal supersymmetric D-flat direction where inflation occurs at the point of inflection within the visible sector. Hence by using multi parameter scan I constrain the non-minimal couplings appearing in non-renormalizable Kähler operators within, \( \mathcal{O}(1) \), for the speed of sound, 0.02 ≤ c s ≤ 1, and tensor to scalar, 10−22 ≤ r ⋆ ≤ 0.12. Finally applying all of these constraints I will fix the lower as well as the upper bound of the non-Gaussian parameters within, \( \mathcal{O}\left( {1-5} \right)\leq {f_{NL }}\leq 8.5 \), \( \mathcal{O}\left( {75-150} \right)\leq {\tau_{NL }}\leq 2800 \) and \( \mathcal{O}\left( {17.4-34.7} \right)\leq {g_{NL }}\leq 648.2 \), and CMB dipolar asymmetry parameter within the range, 0.05 ≤ A CM B ≤ 0.09.
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Choudhury, S. Constraining \( \mathcal{N} \) = 1 supergravity inflation with non-minimal Kähler operators using δN formalism. J. High Energ. Phys. 2014, 105 (2014). https://doi.org/10.1007/JHEP04(2014)105
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DOI: https://doi.org/10.1007/JHEP04(2014)105