The classical su(2) invariance of the su(2)q-invariantXXZspin chain

✍ Scribed by D. G. Caldi; Alan Chodos; Z. Zhu; A. Barth

• Publisher: Springer
• Year: 1991
• Tongue: English
• Weight: 114 KB
• Volume: 22
• Category: Article
• ISSN: 0377-9017
• DOI: 10.1007/bf00403541

✦ Synopsis

The XXZ spin-chain Hamiltoman has been constructed to be su(2)q-invariant, but naively does not appear to be su(2)-invariant. However, using recently discovered deforming maps between representations of su(2)q and corresponding representations of su(2), we prove a theorem which states that if a Hamiltonian is su(2)q-invariant, it is also su(2)-invanant. The theorem generalizes to any quantized Lie algebra.