Matter-coupled de Sitter supergravity

DOI10.1134/S0040577916050068zbMATH Open1346.83062arXiv1509.02136OpenAlexW2122471297MaRDI QIDQ309323

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Publication date: 7 September 2016

Published in: (Search for Journal in Brave)

Abstract: De Sitter supergravity describes interaction of supergravity with general chiral and vector multiplets as well as one nilpotent chiral multiplet. The extra universal positive term in the potential due to the nilpotent multiplet, corresponding to the anti-D3 brane in string theory, supports de Sitter vacua in these supergravity models. In the flat space limit these supergravity models include the Volkov-Akulov model with a non-linearly realized supersymmetry. The rules for constructing pure de Sitter supergravity action are generalized here in presence of other matter multiplets. We present a strategy to derive the complete closed form general supergravity action with a given Kahler potential $K$, superpotential $W$ and vector matrix $f_{AB}$ interacting with a nilpotent chiral multiplet. It has the potential $V=e^K(|F^2|+|DW{|}^2-3|W{|}^2)$, where $F$ is a necessarily non-vanishing value of the auxiliary field of the nilpotent multiplet. De Sitter vacua are present under simple condition that $|F^2|-3|W{|}^2>0$. A complete explicit action in the unitary gauge is presented.

Full work available at URL: https://arxiv.org/abs/1509.02136

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