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Novel aspects of integrability for nonlinear sigma models in symmetric spaces

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Autor(es):
Katsinis, Dimitrios
Número total de Autores: 1
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 105, n. 12, p. 21-pg., 2022-06-02.
Resumo

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 anti-de Sitter, de Sitter, and hyperbolic spaces, which are of interest in view of the AdS/FT 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. (AU)

Processo FAPESP: 21/01819-0 - Deformações de Yang-Baxter de modelos sigma da supercorda
Beneficiário:Dimitrios Katsinis
Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado