This monograph presents in detail the reduction method for studying
the unification of fundamental actions. The mathematical
(differential geometrical) methods make extensive use of Lie Groups
and the concept of homogeneous spaces. The main topic of the book
is the dimensional reduction of pure Yang-Mills theories. A rather
complete analysis of the structure of the scalar field potential is
given and a general procedure for solving the equations of
spontaneous compactification within Einstein-Yang-Mills systems is
presented. The authors also discuss gravity and theories with
fermions included and they review attempts to construct realistic
models. The book presents the basic ideas and the calculations in
detail and should be of interest to researchers and graduate
students in mathematical physics.
General
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