Abstract
We 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 n s and r, a broad range of values of the vacuum energy V 0, 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.
Highlights
Where f (Φ) was a real holomorphic function, such that f (Φ) = f(Φ )
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
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
Summary
A significant progress in generic inflationary models with the exit to dS minima was achieved in [27, 28] in the constructions with spontaneously broken Volkov-Akulov (VA) supersymmetry [31, 32]. Volkov-Akulov fermionic multiplets as well as chiral and vectors multiplets have not yet been constructed, in full generality, in the form in which they depend only on physical fields. It is known, in principle, how one can derive such models, starting with their superconformal version presented in [27]. This allows to make a choice of the local supersymmetry gauge χs = 0, which leads to a simplest possible version of the generic super-Higgs mechanism [38, 39] In such models gravitino ‘eats’ χs, and all complicated Volkov-Akulov type non-linear terms depending on χs vanish in the unitary gauge
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