# Novel aspects of integrability for nonlinear sigma models in symmetric spaces

@article{Katsinis2022NovelAO, title={Novel aspects of integrability for nonlinear sigma models in symmetric spaces}, author={Dimitrios Katsinis}, journal={Physical Review D}, year={2022} }

We obtained the formal solution of the auxiliary system of Non Linear Sigma Models, 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 Anti-de 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…

## One Citation

### Solving formally the Auxiliary System of $O(N)$ Non Linear Sigma Model

- Mathematics
- 2022

We show that the integrability of the SO ( N ) /SO ( N − 1) Principal Chiral Model (PCM) originates from the Pohlmeyer reduction of the O ( N ) Non Linear Sigma Model (NLSM). In particular, we show…

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We show that the integrability of the SO ( N ) /SO ( N − 1) Principal Chiral Model (PCM) originates from the Pohlmeyer reduction of the O ( N ) Non Linear Sigma Model (NLSM). In particular, we show…

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