Duality Invariance Implies Poincaré Invariance

Claudio Bunster, Marc Henneaux
2013 Physical Review Letters  
We consider all possible dynamical theories which evolve two transverse vector fields out of a three-dimensional Euclidean hyperplane, subject to only two assumptions: (i) the evolution is local in space, and (ii) the theory is invariant under "duality rotations" of the vector fields into one another. The commutators of the Hamiltonian and momentum densities are shown to be necessarily those of the Poincare group or its zero signature contraction. Space-time structure thus emerges out of the
more » ... erges out of the principle of duality.
doi:10.1103/physrevlett.110.011603 pmid:23383777 fatcat:bxrg57y4tfgutfiair2rrdgkku