Quantum integrability of sigma models on AII and CII symmetric spaces

Abstract

Exact massive S-matrices for two dimensional sigma models on symmetric spaces SU(2N)/Sp(N) and Sp(2P)/Sp(P)*Sp(P) are conjectured. They are checked by comparison of perturbative and non perturbative TBA calculations of free energy in a strong external field. We find the mass spectrum of the models and calculate their exact mass gap.

11 p., minor corrections

Cited by in corpus (8)

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• Quantum, higher-spin, local charges in symmetric space sigma models
• 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)
• Higher-spin conserved currents in supersymmetric sigma models on symmetric spaces
• Instantons, renormalons and the theta angle in integrable sigma models
• Integrability and braided tensor categories
• An Index for Quantum Integrability
• Thermodynamic Bethe ansatz for the AII sigma-models