Abstract
We study the presence of discrete gauge symmetries in D-brane semi-realistic compactifications. After establishing the constraints on the transformation behaviour of the chiral matter for the presence of a discrete gauge symmetry we perform a systematic search for discrete gauge symmetries within local semi-realistic D-brane realizations, based on four D-brane stacks, of the MSSM and the MSSM with three right-handed neutrinos. The systematic search reveals that Proton hexality, a discrete symmetry which ensures the absence of R-parity violating terms as well as the absence of dangerous dimension 5 proton decay operators, is only rarely realized. Moreover, none of the semi-realistic local D-brane configurations exhibit any family dependent discrete gauge symmetry.
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Anastasopoulos, P., Cvetič, M., Richter, R. et al. String constraints on discrete symmetries in MSSM type II quivers. J. High Energ. Phys. 2013, 11 (2013). https://doi.org/10.1007/JHEP03(2013)011
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DOI: https://doi.org/10.1007/JHEP03(2013)011