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U(∞) GAUGE THEORY FROM HIGHER DIMENSIONS

KIYOSHI SHIRAISHI

Institute for Cosmic Ray Research, University of Tokyo, 2–1 Midori-cho 3, Tanashi-shi, Tokyo 188, Japan

Present address: Akita Junior College, Shimokitade-sakura, Akita-shi, Akita 010, Japan.

https://doi.org/10.1142/S0217751X92002738Cited by:0 (Source: Crossref)

Abstract

We show that classical U(∞) gauge theories can be obtained from the dimensional reduction of a certain class of higher-derivative theories. In general, the exact symmetry is attained in the limit of degenerate metric; otherwise, the infinite-dimensional symmetry can be taken as spontaneously broken. Monopole solutions are examined in the model for scalar and gauge fields. An extension to gravity is also discussed.