10 = 6 + 4
Abstract
Some physics models have 10 dimensions that are usually decomposed into: 4 spacetime dimensions with local Lorentz Spin(1,3) symmetry plus a 6-dimensional compact space related to internal symmetries. A possibly useful alternative decomposition is into: 6 spacetime dimensions with local Conformal symmetry of the Conformal Group C(1,3) = Spin(2,4) = SU(2,2) plus a 4-dimensional compact Internal Symmetry Space that can be taken to be complex projective 2-space CP2 which, since CP2 = SU(3) / U(2), is a natural representation space for SU(3) and is a natural local representation space for U(2) = SU(2) x U(1).
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