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)

Abstract

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

arXiv comment11 pages (v2: minor additions and improvements)

References in corpus (7)

• Local conserved charges in principal chiral models
• Integrable sigma models with theta=pi
• Commuting charges and symmetric spaces
• Integrable sigma models and perturbed coset models
• Integrable Sigma-models and Drinfeld-Sokolov Hierarchies
• Classically integrable boundary conditions for symmetric-space sigma models
• Quantum integrability of sigma models on AII and CII symmetric spaces

Cited by in corpus (14)

• Superstrings on AdS_4 x CP^3 as a Coset Sigma-model
• Introduction to Yangian symmetry in integrable field theory
• Semiclassical Quantization of Spinning Strings in AdS_4 x CP^3
• Quantum integrability and functional equations
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• Integrable sigma models and 2-loop RG flow
• Quantum, higher-spin, local charges in symmetric space sigma models
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• On string integrability. A journey through the two-dimensional hidden symmetries in the AdS/CFT dualities
• An Index for Quantum Integrability
• Pseudoduality Between Symmetric Space Sigma Models
• Superconformal Selfdual Sigma-Models
• Pseudoduality in Supersymmetric Sigma Models on Symmetric Spaces
• Notes on index of quantum integrability