Abstract: The fruitful relationship between physics and integrability has been widely tested by different approaches. They appear, for example, in areas like gravitation and condensed matter physics using holographic or generating solution techniques. In this talk I will review some recent developments connecting integrable models, gravitation, non-Hermitian physics and field theories. The relationship between the AKNS hierarchy and anti-de Sitter three dimensional gravity will be discussed as well as the stability of complex solitons having real conserved quantities. Based on:
- M. Cárdenas, F. C, K. Lara, and M. Pino, Physical Review Letters, 127, 161601, 2021.
- F. C, A. Fring, T. Taira, Nuclear Physics B, 971, 115516, 2021.
- F. C, A. Fring, T. Taira, Nuclear Physics B, 2022.
- J. Cen, F.C, A. Fring, T. Taira, Physics Letters A, 435, 128060 2022.