Time-dependent Pais–Uhlenbeck Oscillator and Its Decomposition

Kuwabara, Hirosuke; Yumibayashi, Tsukasa; Harada, Hiromitsu

doi:10.1007/978-3-319-31756-4_20

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Symmetries Of the Nonlocal Pu Model On The Lagrangian Level1

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2016

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“…Then the symmetry generators (4.6) and (4.13) extend naturally to the vector case: C α 's and L's, respectively. Moreover, we have an additional family of generators J 28) related to the symmetry…”

Section: Symmetries Of the Nonlocal Pu Model On The Lagrangian Levelmentioning

confidence: 99%

Nonlocal dynamics and infinite nonrelativistic conformal symmetries

Andrzejewski

Bolonek-Lasoń

2016

Phys. Rev. D

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We study the symmetry of the class of nonlocal models which includes the nonlocal extension of the Pais-Uhlenbeck oscillator. As a consequence, we obtain an infinite dimensional symmetry algebra, containing the Virasoro algebra, which can be considered as a generalization of the non-relativistic conformal symmetries to the infinite order. Moreover, this nonlocal extension resembles to some extent the string model and on the quantum level it leads to the centrally extended Virasoro algebra. *

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Section: Symmetries Of the Nonlocal Pu Model On The Lagrangian Levelmentioning

confidence: 99%