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'''[[special unitary group|SU(6)]]''' is a [[grand unified theory]] which includes the [[Georgi-Glashow]] SU(5) gauge group. | |||
The fermionic matter content of this model comes in three generations (copies) of | |||
:<math>15\oplus \bar{6}\oplus \bar{6}</math> | |||
as SU(6) [[representations of Lie groups|representations]]. | |||
This gauge group is broken down to the Georgi-Glashow model by a pair of 6<sub>H</sub>/<math>\bar{6}_H</math> Higgs fields. | |||
:<math>SU(6)\begin{matrix}6_H/\bar{6}_H\\ \longrightarrow \end{matrix} SU(5)\times U(1)</math> | |||
The fermions decompose as | |||
:<math>15\rightarrow 10\oplus 5</math> | |||
:<math>\bar{6}\rightarrow \bar{5}\oplus 1</math> | |||
The Yukawa coupling <math>\bar{6} \bar{6}_H 15</math> causes 5 and a <math>\bar{5}</math> SU(5)-rep of fermions to pair up and acquire GUT scale masses for each generation. | |||
An adjoint Higgs '''35'''<sub>H</sub> breaks the model down further to the [[standard model]]. | |||
Most important, SU(6) is also used as a classification group for [[baryons]] and [[mesons]]. In fact it takes in account both SU(3) flavour and SU(2) spin. Then, quarks u,d,s, with spin up and down belong to the fundamental representation '''6'''. Mesons belong to the '''35''' representation and baryons to the '''56''' representation obtained from the product quark-antiquark and quark-quark-quark, respectively. | |||
Recently, a new type of [[grand unified theories]] based on SU(6) group has been proposed to realize a unification of strong and electroweak interactions.<ref>A. Hartanto and L.T. Handoko, Grand Unified Theory based on the SU(6) symmetry, ''[http://publish.aps.org/abstract/PRD/V71/E095013 Physical Review D71 (2005) 095013]''</ref> The work provides a complete form of 35 generators in SU(6) group. | |||
== References == | |||
{{Reflist}} | |||
{{DEFAULTSORT:Su(6) (Physics)}} | |||
[[Category:Particle physics]] | |||
{{Particle-stub}} | |||
Revision as of 15:54, 22 November 2013
SU(6) is a grand unified theory which includes the Georgi-Glashow SU(5) gauge group.
The fermionic matter content of this model comes in three generations (copies) of
as SU(6) representations.
This gauge group is broken down to the Georgi-Glashow model by a pair of 6H/ Higgs fields.
The fermions decompose as
The Yukawa coupling causes 5 and a SU(5)-rep of fermions to pair up and acquire GUT scale masses for each generation.
An adjoint Higgs 35H breaks the model down further to the standard model.
Most important, SU(6) is also used as a classification group for baryons and mesons. In fact it takes in account both SU(3) flavour and SU(2) spin. Then, quarks u,d,s, with spin up and down belong to the fundamental representation 6. Mesons belong to the 35 representation and baryons to the 56 representation obtained from the product quark-antiquark and quark-quark-quark, respectively.
Recently, a new type of grand unified theories based on SU(6) group has been proposed to realize a unification of strong and electroweak interactions.[1] The work provides a complete form of 35 generators in SU(6) group.
References
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- ↑ A. Hartanto and L.T. Handoko, Grand Unified Theory based on the SU(6) symmetry, Physical Review D71 (2005) 095013