SO(10)

The pattern of weak isospin, W, weaker isospin, W', strong g3 and g8, and baryon minus lepton, B, charges for particles in the SO(10) model, rotated to show the embedding of the Georgi–Glashow model and Standard Model, with electric charge roughly along the vertical. In addition to Standard Model particles, the theory includes 30 colored X bosons, responsible for proton decay, and two W' bosons.
The pattern of charges for particles in the SO(10) model, rotated to show the embedding in E6.

In particle physics, SO(10) refers to a grand unified theory (GUT) based on the spin group Spin(10). The shortened name SO(10) is conventional[1] among physicists, and derives from the Lie algebra or less precisely the Lie group of SO(10), which is a special orthogonal group that is double covered by Spin(10).

SO(10) subsumes the Georgi–Glashow and Pati–Salam models, and unifies all fermions in a generation into a single field. This requires 12 new gauge bosons, in addition to the 12 of SU(5) and 9 of SU(4)×SU(2)×SU(2).

  1. ^ Baez, John; Huerta, John (2010-03-11). "The algebra of grand unified theories". Bulletin of the American Mathematical Society. 47 (3): 483–552. arXiv:0904.1556. doi:10.1090/S0273-0979-10-01294-2. ISSN 0273-0979.