Novel aspects of integrability for nonlinear sigma models in symmetric spaces
Abstract
We obtained the formal solution of the auxiliary system of nonlinear sigma models (NLSMs), whose target space is a rank 1 symmetric space based on the indefinite orthogonal group O (p ,q ), corresponding to an arbitrary solution of the NLSM. This class includes antide Sitter, de Sitter, and hyperbolic spaces, which are of interest in view of the AdS /CFT correspondence. The formal solution is related to the Pohlmeyer reduction of the NLSM, constituting another link between the NLSM and the reduced theory. Besides deriving the solution, we also review the Pohlmeyer reduction of such models. Finally, we comment on the implications for the monodromy matrix and its eigenvalues.
 Publication:

Physical Review D
 Pub Date:
 June 2022
 DOI:
 10.1103/PhysRevD.105.126008
 arXiv:
 arXiv:2201.10554
 Bibcode:
 2022PhRvD.105l6008K
 Keywords:

 High Energy Physics  Theory;
 Mathematical Physics;
 Nonlinear Sciences  Exactly Solvable and Integrable Systems
 EPrint:
 38 pages, v2: added section on the conserved charges generated by the monodromy matrix, matches published version