Abstract

Dynamics of quantized free fields (of spin 0 and 1/2) contained in a subspace V* of an N +4 dimensional flat space Vis studied. The space V* is considered as a neighborhood of a four dimensional submanifold M arbitrarily embedded into V. We study the system as a simple model of unified theory of gravity (g), SO(N) gauge fields (A) and Higgs fields (¢). We show that Einstein SO(N)-Yang-Mills Higgs theory is induced as a low energy effective theory of the system. The fields g, A and ¢are induced themselves by embedding functions of M and correspond respectively to induced metric, normal connection and extrinsic curva­ ture of M.

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