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elementary particle symmetry
subject			fact

elementary particle symmetry	is a kind of symmetry
	is a kind of unitary transformation
	has definition Abstract mathematical relationships that relate elementary particles together and allow them to be grouped into families. A particular symmetry transformation has the effect of, in a theoretical way, transforming one elementary particle into another.
symmetry	has antonym symmetry breaking
unitary transformation	has symbol U

Kinds of elementary particle symmetry :

• SU(2) (2 facts) - The symmetry of the weak nuclear interaction.
• SU(2) x U(1) (2 facts) - The symmetry of the unified electroweak interaction.
• SU(3) (3 facts) - The symmetry corresponding to quark theory and the strong nuclear interaction., Symmetrical Unitary of Order 3: A symmetry found in sub-nuclear spectra. It is a concept in group theory, by which Gell-Mann and others, using eight quantum numbers, have been able to combine particles into family groups or supermultiplets, as the lowest-lying eightfold group of the nucleon doublet, the Λ singlet, the Σ triplet, and the Ξ doublet. The SU(3) theory applies only to the strongly interacting particles.
• SU(5) (3 facts) - One of the suggested symmetries of the grand unified theory in which the gluon and electroweak forces are united. It includes the group SU(3) × SU(2) × U(1)., Symmetrical Unitary of Order 5: The simplest type of grand unified theory, proposed in the 1970s. (See grand unified theories.)
• U(1) (2 facts) - The symmetry of the electromagnetic field.