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Título
Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems
Autor(es)
Materia
Conformal and W Symmetry
Extended Supersymmetry
Integrable Hierarchies
Clasificación UNESCO
12 Matemáticas
Fecha de publicación
2019-01-25
Citación
Guilarte, J.M., Plyushchay, M.S. Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems. J. High Energ. Phys. 2019, 194 (2019). https://doi.org/10.1007/JHEP01(2019)194
Resumen
[EN] We investigate how the Lax-Novikov integral in the perfectly invisible PT-regularized zero-gap quantum conformal and superconformal mechanics systems affects on their (super)-conformal symmetries. We show that the expansion of the conformal symmetry with this integral results in a nonlinearly extended generalized Shrödinger algebra. The PT-regularized superconformal mechanics systems in the phase of the unbroken exotic nonlinear N= 4 super-Poincaré symmetry are described by nonlinearly super-extended Schrödinger algebra with the osp(2|2) sub-superalgebra. In the partially broken phase, the scaling dimension of all odd integrals is indefinite, and the osp(2|2) is not contained as a sub-superalgebra.
URI
DOI
10.1007/JHEP01(2019)194
Versión del editor
Colecciones
- MATHPHYS. Artículos [94]