2021
DOI: 10.48550/arxiv.2108.04254
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The unbearable lightness of charged gravitini

Gianguido Dall'Agata,
Maxim Emelin,
Fotis Farakos
et al.

Abstract: We prove that charged gravitini cannot have parametrically small or vanishing Lagrangian mass in de Sitter vacua of extended supergravity while respecting the magnetic weak gravity conjecture. This places large classes of de Sitter solutions of gauged supergravity in the swampland, including all known stable solutions of the N=2 theory. We illustrate this result by analyzing a variety of de Sitter critical points of N=2 matter-coupled supergravity that also include new stable de Sitter solutions. Our results p… Show more

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Cited by 7 publications
(34 citation statements)
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“…While the argument above requires an abelian gauge group on the vacuum, we can argue that also a non-abelian gauge group would lead to the same conclusion, in a similar fashion to [20]. In fact, gauged extended supergravities contain the would-be goldstones of the non-abelian gauge symmetries and one could apply the argument above by looking at points in field space that are infinitesimallly close to the vacuum, but where the gauge group is broken to a subgroup containing an abelian factor.…”
Section: The Argumentmentioning
confidence: 78%
See 1 more Smart Citation
“…While the argument above requires an abelian gauge group on the vacuum, we can argue that also a non-abelian gauge group would lead to the same conclusion, in a similar fashion to [20]. In fact, gauged extended supergravities contain the would-be goldstones of the non-abelian gauge symmetries and one could apply the argument above by looking at points in field space that are infinitesimallly close to the vacuum, but where the gauge group is broken to a subgroup containing an abelian factor.…”
Section: The Argumentmentioning
confidence: 78%
“…Our methodology is analogous to the one employed in [19,20] to exclude de Sitter vacua in extended supergravity. This suggests that difficulties in constructing de Sitter vacua are somehow related to difficulties in obtain scale separation (see [21] for a similar reasoning from a different perspective).…”
Section: Introductionmentioning
confidence: 99%
“…As detailed in Footnote 7 of [8], (meta-) stable de Sitter solutions in 4d gauged supergravities with extended supersymmetries typically require non-compact gaugings (which would correspond to non-compact extra dimensions) or non-geometric fluxes (whose stringy origin is not in a standard classical compactification). More examples and arguments were provided recently in [46,47], beyond the (meta-) stable case. These observations on 4d gauged supergravities are consistent with our claims, thanks to the consistent truncation allowed by our solution ansatz.…”
Section: Conjecture 4 Impliesmentioning
confidence: 99%
“…This gravitino distance conjecture is identical to the AdS conjecture in (supersymmetric) AdS space with δ = 2α, but it applies also to Minkowski and dS spaces (see also [57,58] for related works on vanishing gravitino masses and dS critical points). In four dimensions one obtains a lower bound based on the supergravity EFT δ ≥ 1/3 [56], corresponding to α ≥ 1/6, in agreement with the holographic bounds above (see eq.…”
Section: /4mentioning
confidence: 68%