The recently proposed trans-Planckian censorship conjecture ( TCC ) amounts to the claim that inflation models with an inflationary energy scale larger than \Lambda _ { inf } ^ { max } \sim 10 ^ { 9 } \textrm { GeV } belong to the swampland , i.e . , can not be embedded into a consistent theory of quantum gravity .
In this paper , we point out that this constraint can be readily satisfied in D-term hybrid inflation ( DHI ) , which is a well-motivated inflation scenario in the context of supersymmetric grand unification .
In DHI , the amplitude of the primordial scalar power spectrum originates from a Fayet–Iliopoulos term of the order of the unification scale , \sqrt { \xi } \sim 10 ^ { 16 } \textrm { GeV } .
At the same time , the TCC results in an upper bound on the corresponding gauge coupling constant of g _ { max } \sim 10 ^ { -14 } .
We are able to show that this constraint translates into an upper bound on the gravitino mass of m _ { 3 / 2 } ^ { max } \sim 10 \textrm { MeV } , which opens the possibility that dark matter is accounted for by thermally produced gravitinos , if the reheating temperature is close to T _ { reh } \sim 100 \textrm { TeV } .
Interestingly enough , a somewhat similar gravitino mass range has recently been derived in a model that aims at explaining dark energy in terms of axion quintessence and resolving the Hubble tension by means of decaying gravitino dark matter .