2023
DOI: 10.48550/arxiv.2301.07719
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The Scale of Supersymmetry Breaking and the Dark Dimension

Abstract: We argue for a relation between the supersymmetry breaking scale and the measured value of the dark energy density Λ. We derive it by combining two quantum gravity consistency swampland constraints, which tie the dark energy density Λ and the gravitino mass M 3/2 , respectively, to the mass scale of a light Kaluza-Klein tower and, therefore, to the UV cut-off of the effective theory. Whereas the constraint on Λ has recently led to the Dark Dimension scenario, with a prediction of a single mesoscopic extra dime… Show more

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Cited by 4 publications
(8 citation statements)
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References 38 publications
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“…Since m z is lighter than m w KK , just like the strongly warped case, the stabilization of the conifold modulus in the four-dimensional supergravity description can be invalid unless the light KK modes under the species cutoff just contribute to the rescaling of K zz . For the extremely weakly warped throat, the ratio (26)) and m KK /m z ∼ |z|V (19)) are similar to or larger than 1/(2π) 2 and |z| 1/3 η UV /(2π) 2 , respectively, so as well known, m z can be lighter than the KK mass scale, which is trustworthy provided |z|/Λ 3 0 is not too close to 1.…”
Section: Weakly Warped Throatmentioning
confidence: 83%
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“…Since m z is lighter than m w KK , just like the strongly warped case, the stabilization of the conifold modulus in the four-dimensional supergravity description can be invalid unless the light KK modes under the species cutoff just contribute to the rescaling of K zz . For the extremely weakly warped throat, the ratio (26)) and m KK /m z ∼ |z|V (19)) are similar to or larger than 1/(2π) 2 and |z| 1/3 η UV /(2π) 2 , respectively, so as well known, m z can be lighter than the KK mass scale, which is trustworthy provided |z|/Λ 3 0 is not too close to 1.…”
Section: Weakly Warped Throatmentioning
confidence: 83%
“…Comparing this with the bulk KK mass scale (19) and the string mass scale (12), one finds that m KK < m s < m W , as implied by the definition of the winding mass scale. Meanwhile, the throat KK mass scale (20) introduces another winding mass scale given by…”
Section: Mass Scales Of Towers Of Statesmentioning
confidence: 84%
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