Special properties of a submanifold of su(3)
Abstract
The finite gauge transformation, in the submanifold of su(3) introduced in hep-th/9902027, is found to be linear in the gauge functions ωa's. In this manner, a parameterization of SU(3) in terms of a single real octet vector ωa is achieved. Under this finite transformation, those gauge fields satisfying Dabμωb = 0, remain unchanged. A geometric meaning to the submanifold in terms of rotations in E8 is presented.
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