Three Dimensional Quantum Chromodynamics †

The subject of this talk was the review of our study of three (2 + 1) dimensional Quantum Chromodynamics. In our previous works, we showed the existence of a phase where parity is unbroken and the flavor group U (2n) is broken to a subgroup U (n) × U (n). We derived the low energy effective action for the theory and showed that it has solitonic excitations with Fermi statistic, to be identified with the three dimensional " baryon ". Finally, we studied the current algebra for this effective action and we found a co-homologically non trivial generalization of Kac-Moody algebras to three dimensions.