A full (triangular) quantum deformation of so(3, 2) is presented by considering this algebra as the conformal algebra of the 2+1 dimensional Minkowskian spacetime. Non-relativistic contractions are analysed and used to obtain quantum Hopf structures for the conformal algebras of the 2+1 Galilean and Carroll spacetimes. Relations between the latter and the null-plane quantum Poincaré algebra are...

Article history: Received 4 December 2016 Accepted 12 December 2016 Available online 16 December 2016 Editor: M. Cvetič We describe how quartic (λφ4) inflation with non-minimal coupling to gravity is realized in realistic supersymmetric SO (10) models. In a well-motivated example the 16 − 16 Higgs multiplets, which break SO (10) to SU (5) and yield masses for the right-handed neutrinos, provide...

Evaluation of nucleon decay modes and branching ratios in a non-minimal supersymmetric SO(10) grand unified theory is presented. The non-minimal GUT considered is the supersymmetrised version of the ‘realistic’ SO(10) model originally proposed by Harvey, Reiss, and Ramond, which is realistic in that it gives acceptable charged fermion and neutrino masses within the context of a phenomenological...