Abstract
We propose new interactions of a (massive) vector multiplet with chiral multiplets and (D-type) spontaneously broken supersymmetry in four-dimensional N=1 supergravity, due to the generalized Fayet–Iliopoulos (FI) terms. Our actions are invariant under linearly realized off-shell supersymmetry and Kähler–Weyl transformations. We compute the scalar potentials and pinpoint some physical restrictions arising in this approach.
Highlights
Local and linearly realized supersymmetry significantly restricts the structure of interactions in four-dimensional N = 1 supergravity and imposes severe constraints on its phenomenological applications in particle physics and cosmology, including inflationary models, in particular [1]
In this Letter we propose more general FI terms for a construction of new interactions of a vector superfield with chiral superfields in N = 1 supergravity
The kinetic term of Fμν has the physical sign when. This condition is violated when either P > 3ξ2′ or P < 3ξ2′, as well as when P = 0, and excludes the FI term (16) in all these cases. This restriction can be removed by using a superpotential that leads to nonvanishing vacuum expectation values of physical scalars of the chiral superfields contributing to supersymmetry breaking. 6
Summary
Local and linearly realized supersymmetry significantly restricts the structure of interactions in four-dimensional N = 1 supergravity and imposes severe constraints on its phenomenological applications in particle physics and cosmology, including inflationary models, in particular [1]. It is, of interest to extend the standard framework of N = 1 supergravity, in order to allow more interactions. Our FI terms include arbitrary functions, and the proposed actions are invariant under linearly realized (manifest) N = 1 local supersymmetry and Kahler-Weyl (gauge) transformations.
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