Quantum, higher-spin, local charges in symmetric space sigma models

Details Quantum, higher-spin, local charges in symmetric space sigma models Quantum, higher-spin, local charges in symmetric space sigma models

2004-08-31

arxiv.org/abs/hep-th/0408244v2

JHEP0501:020,2005

Physics

High Energy Physics

High Energy Physics - Theory

v2: 17 pages; refs added

Scientific paper

10.1088/1126-6708/2005/01/020

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.

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