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- W3089063502 abstract "We study $dS_4$ vacua within matter-coupled $N=4$ gauged supergravity in the embedding tensor formalism. We derive a set of conditions for the existence of $dS_4$ solutions by using a simple ansatz for solving the extremization and positivity of the scalar potential. We find two classes of gauge groups that lead to $dS_4$ vacua. One of them consists of gauge groups of the form $G_{textrm{e}}times G_{textrm{m}}times H$ with $H$ being a compact group and $G_{textrm{e}}times G_{textrm{m}}$ a non-compact group with $SO(3)times SO(3)$ subgroup and dynonically gauged. These gauge groups are the same as those giving rise to maximally supersymmetric $AdS_4$ vacua. The $dS_4$ and $AdS_4$ vacua arise from different coupling ratios between $G_{textrm{e}}$ and $G_{textrm{m}}$ factors. Another class of gauge groups is given by $SO(2,1)_{textrm{e}}times SO(2,1)_{textrm{m}}times G_{textrm{nc}}times G'_{textrm{nc}}times H$ with $SO(2,1)$, $G_{textrm{nc}}$ and $G'_{textrm{nc}}$ dyonically gauged. We explicitly check that all known $dS_4$ vacua in $N=4$ gauged supergravity satisfy the aforementioned conditions, hence the two classes of gauge groups can accommodate all the previous results on $dS_4$ vacua in a simple framework. Accordingly, the results provide a new approach for finding $dS_4$ vacua. In addition, relations between the embedding tensors for gauge groups admitting $dS_4$ and $dS_5$ vacua are studied, and a new gauge group, $SO(2,1)times SO(4,1)$, with a $dS_4$ vacuum is found by applying these relations to $SO(1,1)times SO(4,1)$ gauge group in five dimensions." @default.
- W3089063502 created "2020-10-01" @default.
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- W3089063502 date "2019-09-01" @default.
- W3089063502 modified "2023-10-02" @default.
- W3089063502 title "$$dS_4$$ vacua from matter-coupled 4D $$N=4$$ gauged supergravity" @default.
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- W3089063502 doi "https://doi.org/10.1140/epjc/s10052-019-7318-y" @default.
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