The cosmological constant in supergravity

Antoniadis, Ignatios; Chatrabhuti, A.; Isono, H.; Knoops, R. (2018). The cosmological constant in supergravity. European physical journal. C - particles and fields, 78(9) EDP Sciences 10.1140/epjc/s10052-018-6175-4

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We propose a supersymmetrisation of the cosmological constant in ordinary N=1
supergravity that breaks supersymmetry spontaneously by a constant Fayet-Iliopoulos (FI) term associated to a U(1) symmetry. This term is a variation of a new gauge invariant FI term proposed recently, which is invariant under Kähler transformations and can be written even for a gauged R-symmetry on top of the standard FI contribution. The two terms are the same in the absence of matter but differ in its presence. The proposed term is reduced to a constant FI-term up to fermion interactions that disappear in the unitary gauge in the absence of any F-term supersymmetry breaking. The constant FI term leads to a positive cosmological constant, uplifting the vacuum energy from the usual anti-de Sitter supergravity to any higher value.

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