Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)xSO(n) and Sp(2n)/Sp(n)xSp(n)

J. M. Evans; D. Kagan; C. A. S. Young

doi:10.1016/j.physletb.2004.04.042

paper

Non-local charges and quantum integrability of sigma models on the symmetric spaces SO(2n)/SO(n)xSO(n) and Sp(2n)/Sp(n)xSp(n)

arXiv:hep-th/0404003 · doi:10.1016/j.physletb.2004.04.042

Abstract

Non-local conserved charges in two-dimensional sigma models with target spaces $S O (2 n) / S O (n) \times S O (n)$ and $S p (2 n) / S p (n) \times S p (n)$ are shown to survive quantization, unspoiled by anomalies; these theories are therefore integrable at the quantum level. Local, higher-spin, conserved charges are also shown to survive quantization in the $S O (2 n) / S O (n) \times S O (n)$ models.

11 pages (v2: minor additions and improvements)