TY - JOUR

T1 - Spontaneous compactification and CPN

T2 - SU(3) × SU(2) × U(1), sin2θW, g3/g2 and SU(3)-triplet chiral fermions in four dimensions

AU - Watamura, Satoshi

PY - 1984/3/8

Y1 - 1984/3/8

N2 - We examine the compactification of D=4+2N, Einstein-Maxwell-Dirac theory. It is shown that the manifold CPN × M4 is a solution of the equations of motion. The structure of the fermions, gauge bosons and their couplings in the four-dimensional effective theory is investigated. The scale of CPN is quantized by a generalized Dirac condition. When the results are applied to the solution with internal space CP1×CP2, the weak mixing angle and the ratio of the couplings of SU(3) (g3) and SU(2) (g2) are defined by two integers and a hypercharge. An SU(3)-triplet chiral fermion can appear in four-dimensional effective theory.

AB - We examine the compactification of D=4+2N, Einstein-Maxwell-Dirac theory. It is shown that the manifold CPN × M4 is a solution of the equations of motion. The structure of the fermions, gauge bosons and their couplings in the four-dimensional effective theory is investigated. The scale of CPN is quantized by a generalized Dirac condition. When the results are applied to the solution with internal space CP1×CP2, the weak mixing angle and the ratio of the couplings of SU(3) (g3) and SU(2) (g2) are defined by two integers and a hypercharge. An SU(3)-triplet chiral fermion can appear in four-dimensional effective theory.

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U2 - 10.1016/0370-2693(84)91155-9

DO - 10.1016/0370-2693(84)91155-9

M3 - Article

AN - SCOPUS:48749135669

VL - 136

SP - 245

EP - 250

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4

ER -