2021/04/30 by Eduardo Gonzalo, Luis E. Ibáñez, Irene Valenzuela · 1 citation
Physics and Astronomy · #hep-th #hep-ph
paper · pdf · doi:10.1016/j.physletb.2021.136691
Minor corrections. References added
arxiv created 2021/05/31 · arxiv updated 2021/10/04
We consider constraints on D-dimensional theories in MD, dSD and AdSD backgrounds in the light of AdS swampland conjectures as applied to their compactification in a circle. In particular we consider the non-SUSY AdS instability conjecture and the AdS distance conjecture. For MD and dSD vacua the results may be summarized by a light fermion conjecture which states that in theories with ΛD≥ 0 and a positive first non-vanishing supertrace (-1)k+1Str M2k>0, a surplus of light fermions with mass mf\lesssim ΛD1/D must be present. On the contrary, the cases of MD and AdSD can be made consistent with the mild but not the strong version of the AdS Distance conjecture, since the KK tower in the lower d-dim theory will scale as m\lesssim Λdα with α=1/d. The above constraints also suggest that the Standard Model of particle physics would be inconsistent in Minkowski space but consistent in dS if the lightest neutrino is Dirac and lighter than the cosmological constant scale.