Macroconstraints from Microsymmetries of Macrosystems
  The dynamics governing the evolution of a many body system is constrained by a nonabelian local symmetry. We obtain a general form of the global macroscopic conditions assuring that at the microscopic level the evolution respects the overall symmetry constraint. These conditions does not depend on detailed dynamics of the system. It is shown that a nonabelian internal symmetry leads to the new subsidiary condition imposed on the system. A structure of constraints is analysed. 
Ludwik Turko and Jan Rafelski