Grand unification in the projective plane

Hebecker, Arthur

doi:10.1088/1126-6708/2004/01/047

Report/Journal Article

PUBDB-2017-11178

Grand unification in the projective plane

Hebecker, A. (Corresponding author)DESY*

2004
Springer Berlin

Journal of high energy physics 0401(01), 047 - 047 (2004) [10.1088/1126-6708/2004/01/047]

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Please use a persistent id in citations: doi:10.1088/1126-6708/2004/01/047

Report No.: DESY-03-158; hep-ph/0309313

Abstract: A 6-dimensional grand unified theory with the compact space having the topology of a real projective plane, i.e., a 2-sphere with opposite points identified, is considered. The space is locally flat except for two conical singularities where the curvature is concentrated. One supersymmetry is preserved in the effective 4d theory. The unified gauge symmetry, for example SU(5), is broken only by the non-trivial global topology. In contrast to the Hosotani mechanism, no adjoint Wilson-line modulus associated with this breaking appears. Since, locally, SU(5) remains a good symmetry everywhere, no UV-sensitive threshold corrections arise and SU(5)-violating local operators are forbidden. Doublet-triplet splitting can be addressed in the context of a 6d N=2 super Yang-Mills theory with gauge group SU(6). If this symmetry is first broken to SU(5) at a fixed point and then further reduced to the standard model group in the above non-local way, the two light Higgs doublets of the MSSM are predicted by the group-theoretical and geometrical structure of the model.

Keyword(s): grand unified theory: SU(5) ; dimension: 6 ; space: sphere ; supersymmetry ; Higgs particle: multiplet ; Higgs particle: mass difference ; symmetry breaking: SU(6) ; singularity