2004/08/31 by J. M. Evans, D. Kagan, N. J. MacKay +1 · 1 citation
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1088/1126-6708/2005/01/020
published as JHEP0501:020,2005 · v2: 17 pages; refs added
arxiv created 2005/03/01 · arxiv updated 2009/12/01
Potential anomalies are analysed for the local spin-3 and spin-4 classically conserved currents in any two-dimensional sigma model on a compact symmetric space G/H, with G and H classical groups. Quantum local conserved charges are shown to exist in exactly those models which also possess quantum non-local (Yangian) charges. The possibility of larger sets of quantum local charges is discussed and shown to be consistent with known S-matrix results and the behaviour of the corresponding Yangian representations.