Discrete gauge symmetries in discrete MSSM-like orientifolds

作者：Ibanez L E; Schellekens A N^*; Uranga A M

来源：Nuclear Physics B, 2012, 865(3): 509-540.

DOI：10.1016/j.nuclphysb.2012.08.008

Motivated by the necessity of discrete Z(N) symmetries in the MSSM to insure baryon stability, we study the origin of discrete gauge symmetries from open string sector U (1)%26apos;s in orientifolds based on rational conformal field theory. By means of an explicit construction, we find an integral basis for the couplings of axions and U(1) factors for all simple current MIPFs and orientifolds of all 168 Gepner models, a total of 32 990 distinct cases. We discuss how the presence of discrete symmetries surviving as a subgroup of broken U(1)%26apos;s can be derived using this basis. We apply this procedure to models with MSSM chiral spectrum, concretely to all known U(3) x U(2) x U(1) x U(1) and U(3) x Sp(2) x U (1) x U (1) configurations with chiral bi-fundamentals, but no chiral tensors, as well as some SU(5) GUT models. We find examples of models with Z(2) (R-parity) and Z(3) symmetries that forbid certain B and/or L violating MSSM couplings. Their presence is however relatively rare, at the level of a few percent of all cases.

• 出版日期2012-12-21