Minimal representations and reductive dual pairs in conformal field theory

@inproceedings{Todorov2010MinimalRA,
  title={Minimal representations and reductive dual pairs in conformal field theory},
  author={Ivan Todorov},
  year={2010}
}
A minimal representation of a simple non-compact Lie group is obtained by “quantizing” the minimal nilpotent coadjoint orbit of its Lie algebra. It provides context for Roger Howe’s notion of a reductive dual pair encountered recently in the description of global gauge symmetry of a (4-dimensional) conformal observable algebra. We give a pedagogical introduction to these notions and point out that physicists have been using both minimal representations and dual pairs without naming them and… CONTINUE READING