The ten-dimensional Kaluza-Klein theory. I - Ground states with a compact six-dimensional subspace
Abstract
Solutions of physical interest to the equations of motion in the ten-dimensional Einstein-Maxwell theory are examined which correspond to a spontaneous compactification of the additional dimensions into a compact space including the projection space CP2 and the sphere S2 as subspaces. It is shown that the structure of the holonomy group of the space CP2, the direct product of SU(2) and U(1) groups, allows two possible ways of compactification of the six-dimensional space. The resulting Kaluza-Klein vacuum states are shown to be invariant with respect to the simultaneous transformations of the groups SU(3), Su(2), and U(1).
- Publication:
-
Ukrainskii Fizicheskii Zhurnal
- Pub Date:
- November 1984
- Bibcode:
- 1984UkFiZ..29.1605S
- Keywords:
-
- Einstein Equations;
- Electromagnetic Interactions;
- Gravitational Fields;
- Metric Space;
- Unified Field Theory;
- Calibrating;
- Equations Of Motion;
- Maxwell Equation;
- Physics (General)