Abstract
We present a new type of Fayet-Iliopoulos (FI) terms in mathcal{N}=2 supergravity that do not require the gauging of the R-symmetry. We elaborate on the impact of such terms on the vacuum structure of the mathcal{N}=2 theory and compare their properties with the standard Fayet-Iliopoulos terms that arise from gaugings. In particular, we show that, with the use of the new FI terms, models with a single physical mathcal{N}=2 vector multiplet can be constructed that give stable de Sitter vacua.
Highlights
We present a new type of Fayet-Iliopoulos (FI) terms in N = 2 supergravity that do not require the gauging of the R-symmetry
Before we study a specific example let us comment on the properties of the scalar potential (4.49): First, we point out that if in addition we include new FI terms for more than one physical multiplets, say W i, we will find that ζI = ξI + 8ξiδIi eniK where the ξi are the real FI constants for the new FI terms of each physical vector multiplet and ni the integers that determine how the compensators enter
To highlight some interesting aspects of these constructions let us mention that new type of scalar potentials can be introduced that lead to new possibilities for inflation in supergravity [25, 73], and to new possibilities regarding the vacuum structure [23, 26], while the matter content of the theory is still described by standard N = 1 supermultiplets, including the FI gauge multiplet
Summary
Multiplet W because it is the non-vanishing vevs of the auxiliary Xi(jW ) that guarantee the self-consistency of the construction of the composite Γ superfields This means that in general an uplift term as (2.47) has to come together with a term, such as the new FI term, that guarantees Xij(W )Xi(jW ) = 0. Which would generate linear terms in Xij. which would generate linear terms in Xij Such term would generate all sorts of higher derivative terms, for example terms including W 2 W 2, that would lead to a complicated expression for the bosonic sector, but would possibly lead to ghost excitations within the effective theory.
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