2020
DOI: 10.1140/epjc/s10052-020-7912-z
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New Kähler invariant Fayet–Iliopoulos terms in supergravity and cosmological applications

Abstract: 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 multiplet, supplemented by an abelian vector multi… Show more

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Cited by 16 publications
(19 citation statements)
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“…The generation mechanisms and the effect of such terms constitute an interesting open problem related to supersymmetry breaking, that becomes more restrictive in supergravity and even more in extended supersymmetric theories. New FI terms, that do not require gauging the Rsymmetry when coupled to supergravity, were written recently within N = 1 [15][16][17][18] and N = 2 [19] supersymmetry; their bosonic part is identical to an ordinary constant FI term, while their fermionic dependence is highly non-trivial. The first step of these studies is obviously the analysis of the effects of the standard FI term added to the SDBI action, that we discuss in this work.…”
Section: Jhep05(2020)111mentioning
confidence: 99%
“…The generation mechanisms and the effect of such terms constitute an interesting open problem related to supersymmetry breaking, that becomes more restrictive in supergravity and even more in extended supersymmetric theories. New FI terms, that do not require gauging the Rsymmetry when coupled to supergravity, were written recently within N = 1 [15][16][17][18] and N = 2 [19] supersymmetry; their bosonic part is identical to an ordinary constant FI term, while their fermionic dependence is highly non-trivial. The first step of these studies is obviously the analysis of the effects of the standard FI term added to the SDBI action, that we discuss in this work.…”
Section: Jhep05(2020)111mentioning
confidence: 99%
“…The model written in the Kähler frame where the gauge symmetry becomes an R-symmetry in Equation (89) can not be consistently coupled to L FI . A generalized Kähler invariant FI term has been built in [32,33]" [17].…”
Section: Reviewmentioning
confidence: 99%
“…By choosing the initial condition ρ * = 0.445 and ρ end = 1.155, we get the results N = 58, n s = 0.96, r = 0.01 and A s = 2.2 × 10 −9 , which agree with Planck'15 data as shown in Figure 4. Note that an application of the new FI term in no-scale supergravity model for inflation can be found for example in [33,34].…”
Section: A Small Field Inflationmentioning
confidence: 99%
“…(92) can not be consistently coupled to L FI . A generalized Kähler invariant FI term has been built in [21,22].…”
Section: The Conformal D'alembertian Is Given Bymentioning
confidence: 99%
“…4. Note that an application of the new FI term in no-scale supergravity model for inflation can be found for example in [22,23].…”
Section: A Small Field Inflation Model From Supergravity With Observamentioning
confidence: 99%