New Kähler invariant Fayet–Iliopoulos terms in supergravity and cosmological applications

Antoniadis, I.; Rondeau, F. (2020). New Kähler invariant Fayet–Iliopoulos terms in supergravity and cosmological applications. The European physical journal. C, Particles and fields, 80(4) Springer 10.1140/epjc/s10052-020-7912-z

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Recently, a new type of constant Fayet–Iliopoulos (FI) terms was introduced in N = 1 supergravity, which do not require the gauging of the R-symmetry. We revisit and generalise these constructions, building a new class of Kähler invariant FI terms parametrised by a function of the gravitino mass as functional of the chiral superfields, which is then used to describe new models of inflation. They are based on a no-scale supergravity model of the inflaton chiral multi- plet, supplemented by an abelian vector multiplet with the new FI-term. We show that the inflaton potential is compati- ble with the CMB observational data, with a vacuum energy at the minimum that can be tuned to a tiny positive value. Finally, the axionic shift symmetry can be gauged by the U (1) which becomes massive. These models offer a mecha- nism for fixing the gravitino mass in no-scale supergravities, that corresponds to a flat direction of the scalar potential in the absence of the new FI-term; its origin in string theory is an interesting open problem.

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