Spin-1 and spin-2 systems in a GL(20,C) model
A model for spin-1 and spin-2 systems with internal symmetries is constructed by folding in the SL(2,C) space-time invariance group with the SO(10) internal symmetry group. GL(20,C) is obtained as the unifying gauge group. A Lagrangian density which obeys general covariance and local GL(20,C) invariance is constructed. Symmetry is broken spontaneously by introducing Higgs fields and letting the Higgs fields acquire a nonvanishing vacuum expectation value. This is done in such a way that the SL(2,C) subgroup remains invariant to manifest a Lorentz invariant vacuum. By applying the variational principle, field equations are obtained for spin-1 and spin-2 fields. Both massive and massless fields are allowed in the theory, and a massless spin-2 state is identified with the graviton. This model can be used for phenomenological unification of the four forces, or it can be just used to obtain spin-2 states with SO(10) internal degrees of freedom.
- Research Organization:
- Missouri Univ., Columbia (USA)
- OSTI ID:
- 5081058
- Country of Publication:
- United States
- Language:
- English
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