U(infinity) Gauge Theory from Higher Dimensions

TL;DR

This paper demonstrates how classical U(infinity) gauge theories can be derived from higher-dimensional theories through dimensional reduction, exploring symmetry breaking, monopole solutions, and extensions to gravity.

Contribution

It introduces a method to obtain U(infinity) gauge theories from higher-derivative theories via dimensional reduction, including analysis of symmetry breaking and monopole solutions.

Findings

Exact symmetry achieved in degenerate metric limit

Infinite-dimensional symmetry can be spontaneously broken

Monopole solutions are analyzed within the model

Abstract

We show that classical U(infinity) 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.