Abstract
The possibility of SO(10) as a grand unification group of the standard SU(2) L × U(1) Y × SU(3) c , was first noted by Georgi [1] and Fritzsch and Minkowski [1]. Unlike SU(5), SO(10) is a group of rank 5 with the extra diagonal generator of SO(10) being B — L as in the left-right symmetric groups. The advantages of SO(10) over SU(5) grand unification are that:
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(a)
only one 16-dimensional spinor representation of SO(10) has the right quantum numbers to accommodate all fermions (including the right-handed neutrino) of one generation;
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(b)
the gauge interactions of SO(10) conserve parity thus making parity a part of a continuous symmetry: this has the advantage that it avoids the cosmological domain wall problem associated with parity symmetry breakdown; and
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(c)
it is the minimal left-right symmetric grand unified model that gauges the B — L symmetry and is the only other simple grand unification group that does not need mirror fermions [2]. The model does not have any global symmetries.
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© 1992 Springer Science+Business Media New York
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Mohapatra, R.N. (1992). SO(10) Grand Unification. In: Unification and Supersymmetry. Graduate Texts in Contemporary Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4373-9_7
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DOI: https://doi.org/10.1007/978-1-4757-4373-9_7
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