For example, in a 10-dimensional N = 1 theory the vector multiplet contains only a vector and a Majorana-Weyl spinor, while its dimensional reduction on a d-dimensional torus is a vector multiplet containing d real scalars.
42.
For example, in a 10-dimensional N = 1 theory the vector multiplet contains only a vector and a Majorana-Weyl spinor, while its dimensional reduction on a d-dimensional torus is a vector multiplet containing d real scalars.
43.
Coupling to " n " equivalent ( spin ?) nuclei splits the signal into a " n " + 1 "'multiplet "'with intensity ratios following Pascal's triangle as described on the right.
44.
Unlike the 10-dimensional theory, as was described in the previous subsection, the supergravity multiplet itself contains a vector and so there will always be at least a U ( 1 ) gauge symmetry, even in the N = 2 case.
45.
Coupling to additional spins will lead to further splittings of each component of the multiplet e . g . coupling to two different spin ?nuclei with significantly different coupling constants will lead to a " doublet of doublets " ( abbreviation : dd ).
46.
To account for the 248 fermions in the lowest multiplet of E 8, these would either have to include anti-particles ( and so have baryogenesis ), have new undiscovered particles, or have gravity-like ( spin connection ) bosons affecting elements of the particles spin direction.
47.
A "'hypermultiplet "'is a type of representation of an extended supersymmetry algebra, in particular the matter multiplet of " N " = 2 supersymmetry in 4 dimensions, containing two complex auxiliary complex scalars " F " " i ".
48.
There are examples of critical vector models in five dimensions, which are supposed to be dual to higher-spin theories in AdS _ 6, which is the same theory as the free boson dual but with different boundary conditions imposed on the scalar field of the higher-spin multiplet.
49.
In mathematics, a "'hypermultiplet "'is a type of representation of an extended supersymmetry algebra, in particular the matter multiplet of " N " = 2 supersymmetry in 4 dimensions, containing two complex auxiliary complex scalars " F " " i ".
50.
The N = 2 supersymmetry algebra contains two nonrenormalization theorems imply that the metric of each is independent of the fields of the other multiplet . ( See for example Argyres, Non-Perturbative Dynamics Of Four-Dimensional Supersymmetric Field Theories, pp . 6-7, for further discussion of the local product structure .)
