Zsub(N)-Symmetric Quantum Chains with an Infinite Set of Conserved Charges and Zsub(N)-Zero Modes

摘要

A set of special Zsub(n)-symmetric quantum chains is proposed which generalize several of the peculiar properties of the Z sub 2 -symmetric Ising quantum chain: 1) the models are self-dual and have an infinite number of commuting conserved charges and 2) they present zero modes: at the critical point all states are n-fold degenerate, away from the critical point the splitting is linear in the coupling constant. (ERA citation 10:029398)