Common Representations
- (0,0) the Lorentz scalar representation. This representation is carried by relativistic scalar field theories.
- (1/2,0) is the left-handed Weyl spinor and (0,1/2) is the right-handed Weyl spinor representation.
- (1/2,0) ⊕ (0,1/2) is the bispinor representation (see also Dirac spinor).
- (1/2,1/2) is the four-vector representation. The electromagnetic vector potential lives in this rep. It is a 1-form field.
- (1,0) is the self-dual 2-form field representation and (0,1) is the anti-self-dual 2-form field representation.
- (1,0) ⊕ (0,1) is the representation of a parity invariant 2-form field. The electromagnetic field tensor transforms under this representation.
- (1,1/2) ⊕ (1/2,1) is the Rarita-Schwinger field representation.
- (1,1) is the spin-2 representation of the traceless metric tensor.
Read more about this topic: Representation Theory Of The Lorentz Group
Famous quotes containing the word common:
“The country needs and, unless I mistake its temper, the country demands bold, persistent experimentation. It is common sense to take a method and try it. If it fails, admit it frankly and try another. But above all, try something. The millions who are in want will not stand idly by silently forever while the things to satisfy their needs are within easy reach.”
—Franklin D. Roosevelt (1882–1945)