Marco Scalisi

Inflation, de Sitter landscape and super-Higgs effect

A bstractWe continue developing cosmological models involving nilpotent chiral super-fields, which provide a simple unified description of inflation and the current acceleration of the universe in the supergravity context. We describe here a general class of models with a positive cosmological constant at the minimum of the potential, such that supersymmetry is spontaneously broken in the direction of the nilpotent superfield S. In the unitary gauge, these models have a simple action where all highly non-linear fermionic terms of the classical Volkov-Akulov action disappear. We present masses for bosons and fermions in these theories. By a proper choice of parameters in this class of models, one can fit any possible set of the inflationary parameters ns and r, a broad range of values of the vacuum energy V0, which plays the role of the dark energy, and achieve a controllable level of supersymmetry breaking. This can be done without introducing light moduli, such as Polonyi fields, which often lead to cosmological problems in phenomenological supergravity.

Cosmological attractors from α-scale supergravity

The Planck value of the spectral index can be interpreted as

Kähler potentials for Planck inflation

n_s = 1 - 2/N

Inflation from nilpotent Kähler corrections

in terms of the number of e-foldings

Lyth bound of inflation with a tilt

N

Inflation and dark energy with a single superfield

. An appealing explanation for this phenomenological observation is provided by

The Lyth Bound of Inflation with a Tilt

\alpha

Can CMB data constrain the inflationary field range

-attractors: the inflationary predictions of these supergravity models are fully determined by the curvature of the Kahler manifold. We provide a novel formulation of

Moduli Backreaction on Inflationary Attractors

\alpha

4d models of dS uplift in KKLT

-attractors which only involves a single chiral superfield. Our construction involves a natural deformation of no-scale models, and employs these to construct a De Sitter plateau with an exponential fall-off. Finally, we show how analogous structures with a flat Kahler geometry arise as a singular limit of such