I first thought of posting on cataloguing various Grand Unified Theory proposals, but that would be an enormous task, so I decided on something simpler: cataloguing proposed GUT gauge-symmetry groups.(adsbygoogle = window.adsbygoogle || []).push({});

The unbroken Standard-Model symmetry is SU(3)_{C}* SU(2)_{L}* U(1)_{Y}

QCD:

SU(3)_{C}-- color

Electroweak:

SU(2)_{L}-- weak isospin

U(1)_{Y}-- weak hypercharge

I'll consider gauge particles, Higgs particles, and elementary fermions (EF's), complete with right-handed neutrinos (RHN).

The GUT's:

SU(5)-- Georgi-Glashow

Gauge: 1, Higgs: 2, EF's: 3 (one of them is RHN)

SU(4)*SU(2)*SU(2)orSO(6)*SO(4)-- Pati-Salam

Gauge: 3, Higgs: 1, EF's: 2 (includes RHN)

SO(10)

Gauge: 1, Higgs: 1, EF's: 1 (includes RHN)

SO(10) can break into Georgi-Glashow or Pati-Salam

SU(3)*SU(3)*SU(3)-- trinification

Gauge: 3, EF's: 3 (includes RHN; one of them also can contain the Higgs)

E(6)

Gauge: 1, EF's: 1 (can also contain the Higgs)

E(6) can break into SO(10) or trinification

E(8)

Everything in the 248 fundamental / adjoint multiplet, including all three generations of EF's.

E(8) can break into E(6)*SU(3), SO(10)*SU(4), or SU(5)*SU(5)

SU(6)

Gauge: 1, EF's: 3 (includes RHN; can also contain the Higgs)

SU(6) can break into SU(5)

ETA: E(6) can break into SU(6)

Any others that anyone has proposed?

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# GUT Proposed Gauge Symmetries

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