Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1995-03-28
Prog. Theor. Phys. 95 (1996) 803
Physics
High Energy Physics
High Energy Physics - Theory
15 pages, LaTeX. The original title, ``On the Dimension of the Space time'', is changed
Scientific paper
10.1143/PTP.95.803
We present a model in which a gauge symmetry of a field theory is intrinsic in the geometry of an extended space time itself. A consequence is that the dimension of our space time is restricted through the BRS cohomology. If the Hilbert space is a dense subspace of the space of all square integrable $C^{\infty}$ functions, the BRS cohomology classes are nontrivial only when the dimension is two or four.
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