Way-out to the Gravitino problem in intersecting D-brane Pati-Salam models

Abstract

We discuss the gravitino problem in contest of the Exotic see-saw mechanism for neutrinos and Leptogenesis, UV completed by intersecting D-branes Pati-Salam models. In the Exotic see-saw model, supersymmetry is broken at high scales $M_{SUSY}>10^9\mathrm{GeV}$ and this seems in contradiction with gravitino bounds from inflation and baryogenesis. However, if gravitino is the Lightest Stable Supersymmetric Particle, it will not decay into other SUSY particles, avoiding the gravitino problem and providing a good Cold Dark Matter. Gravitini are Super Heavy Dark Particles and they can be produced by non-adiabatic expansion during inflation. Intriguingly, from bounds on the correct abundance of dark matter, we also constrain the neutrino sector. We set a limit on the exotic instantonic coupling of $<10^{-2}÷10^{-3}$. This also sets important constrains on the Calabi-Yau compactifications and on the string scale. This model strongly motivates very high energy DM indirect detection of neutrini and photons of $10^{11}÷10^{13}\mathrm{GeV}$: gravitini can decay on them in a cosmological time because of soft R-parity breaking effective operators.

Name, Affiliations and email of M.K. are corrected, Version accepted by Mod.Phys.Lett.A

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• Supergravity Models with 50-100 TeV Scalars, SUSY Discovery at the LHC and Gravitino Decay Constraints
• Dark Matter from Starobinsky Supergravity
• FIMP Dark Matter Freeze-in Gauge Mediation and Hidden Sector
• More about the Instanton/Soliton/Kink correspondence
• Super-light baryphotons, Weak Gravity Conjecture and Exotic instantons in Neutron-Antineutron transitions
• Testing B-violating signatures from Exotic Instantons in future colliders
• Weak Gravity Conjecture as a Razor Criterium for Exotic D-brane instantons
• Non-thermal leptogenesis with distinct CP violation and minimal dark matter