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

J. M. Evans·D. Kagan·N. J. MacKay·C. A. S. Young
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Abstract

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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J. M. Evans, D. Kagan, N. J. MacKay, C. A. S. Young. 2005-03-01. Quantum, higher-spin, local charges in symmetric space sigma models. https://doi.org/10.1088/1126-6708%2F2005%2F01%2F020

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