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)

preprint2004arXivOpen access

Abstract

Non-local conserved charges in two-dimensional sigma models with target spaces SO(2n)/SO(n)×SO(n)SO(2n)/SO(n){\times}SO(n) and Sp(2n)/Sp(n)×Sp(n)Sp(2n)/Sp(n){\times}Sp(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 SO(2n)/SO(n)×SO(n)SO(2n)/SO(n){\times}SO(n) models.

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