Lie Algebroid Yang–Mills with matter fields

摘要: Abstract Lie Algebroid Yang–Mills theories are a generalization of gauge theories, replacing the structural algebra by E . In this note we relax conditions on fiber metric for invariance action functional. Coupling to scalar fields requires possibly nonlinear representations Algebroids. all cases, is seen lead condition covariant constancy respective in question with respect an appropriate connection. The presentation kept explicit part so as be also accessible less mathematically oriented audience.