Sentence examples for gauge groups from inspiring English sources

Particularly, we count the numbers of gauge theories with different gauge groups but equal numbers of U 1) factors which are dual to each other.

We develop for gauge groups an analog of André Weil's theory of deformations of representations of finitely generated groups into Lie groups.

We start with an overview of four-dimensional Seiberg duality for theories with various types of gauge groups and matter content both from a field-theoretic and a brane engineering point of view.

We argue that appropriately "coarse-grained" aspects of the randomly chosen field theory in such landscapes, such as the fraction of gauge groups with ranks in a given range, can be statistically predictable.

These include the nature of electroweak symmetry breaking, the origin of mass, the possible constituent of cold dark matter, new sources of CP violation needed to explain the baryon excess in the universe, the possible existence of extra gauge groups and extra matter, and importantly the path Nature chooses to resolve the hierarchy problem – is it supersymmetry or extra dimensions.

end{aligned} (1.22 The group (G_0({overline{D}})) of such c(x) is called the gauge group.

An action of the gauge group having this property is called (k+1 -fold transitive.

Various values of the effective number of messenger fields Nmess are possible depending on the choice of the gauge group.

Arveson has characterized completely the gauge group of E0-semigroups of type I, and as a consequence it is known that in this case the gauge group action is transitive.

The gauge group of a spatial E0-semigroup has a natural action on the set of units by operator multiplication.

We study the geometry of gauge fluxes in four-dimensional F-theory vacua with gauge group SU 3)×SU 1)×U 1)×U(1) and its implications for phenomenology.