Nonlinear symmetries of perfectly invisible PT-regularized conformal and superconformal mechanics systems

Autor: Juan Mateos Guilarte, Mikhail S. Plyushchay
Jazyk: angličtina
Rok vydání: 2019
Předmět:
Zdroj: Journal of High Energy Physics, Vol 2019, Iss 1, Pp 1-29 (2019)
Druh dokumentu: article
ISSN: 1029-8479
DOI: 10.1007/JHEP01(2019)194
Popis: Abstract 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 $$ \mathcal{N} $$ = 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.
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