Speaker
Alvaro Herraez
(UAM-CSIC)
Description
It has been recently argued that the presence of any non-SUSY AdS stable vacua implies that a theory can not be consistently coupled to gravity (Ooguri-Vafa conjecture). In particular, this can be applied to the SM and its compactifications to 3 or 2 dimensions to obtain predictions on low energy physics. We will review some implications from these compactifications in general and present in detail the results from the compactification on $T^ 2/Z_4$. We find that the SM is not robust against the appearance of AdS vacua in 2D and hence would be by itself inconsistent with quantum gravity. On the contrary, if the SM is embedded at some scale into a SUSY version like the MSSM, the AdS vacua present in the non-SUSY case disappear or become unstable, pointing towards a preference for the SUSY extensions of the SM coming from the WGC. Moreover, in a $T^ 2/Z_4$ in which the orbifold action is embedded into a B-L symmetry the bounds on neutrino masses and the cosmological constant found in previous works can be recovered, suggesting that the MSSM should be extended with a $U(1)_{B-L}$ gauge group. Finally, in another families of vacua the spectrum of SUSY particles can be further constrained.
