Athanasios Chatzistavrakidis (Athens):
Consistent Dimensional Reduction over Coset Spaces
Abstract:
We consider higher-dimensional Yang--Mills
theories and examine their consistent coset space dimensional reduction. Utilizing a
suitable ansatz and imposing a simple set of constraints we determine the four-dimensional
gauge theory obtained from the reduction of both the higher-dimensional Lagrangian and the
corresponding equations of motion. The two reductions yield equivalent results and hence
they constitute an example of a consistent truncation.
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