Yangian symmetry of integrable quantum chains with longrange interactions and a new description of states in conformal field theory
Abstract
The SU(n) quantum chains with inversesquare exchange exhibit a novel form of Yangian symmetry compatible with periodic boundary conditions, allowing states to be countable. We characterize the ``supermultiplets'' of the spectrum in terms of generalized ``occupation numbers.'' We embed the model in the k=1 SU(n) KacMoody algebra and obtain a new classification of the states of conformal field theory, adapted to particlelike elementary excitations obeying fractional statistics.
 Publication:

Physical Review Letters
 Pub Date:
 October 1992
 DOI:
 10.1103/PhysRevLett.69.2021
 Bibcode:
 1992PhRvL..69.2021H
 Keywords:

 05.30.d;
 71.10.+x;
 Quantum statistical mechanics