scholarly journals Acceleration-extended Newton–Hooke symmetry and its dynamical realization

2008 ◽  
Vol 372 (39) ◽  
pp. 6041-6046 ◽  
Author(s):  
Fu-Li Liu ◽  
Yu Tian
Keyword(s):  
Dynamical Realization

scholarly journals Dynamical realization of l-conformal Galilei algebra and oscillators

2013 ◽  
Vol 866 (2) ◽  
pp. 212-227 ◽  
Author(s):  
Anton Galajinsky ◽  
Ivan Masterov
Keyword(s):  
Dynamical Realization ◽  
Galilei Algebra

scholarly journals New realizations of 𝒩 = 2l-conformal Newton–Hooke superalgebra

2015 ◽  
Vol 30 (13) ◽  
pp. 1550073 ◽  
Author(s):  
Ivan Masterov
Keyword(s):  
Cosmological Constant ◽  
Differential Operators ◽  
Linear Differential Operators ◽  
Negative Cosmological Constant ◽  
Linear Differential ◽  
Math Phys ◽  
Dynamical Realization

By applying Niederer-like transformation, we construct a representation of the 𝒩 = 2l-conformal Newton–Hooke (NH) superalgebra for the case of a negative cosmological constant in terms of linear differential operators as well as its dynamical realization. Another variant of 𝒩 = 2 supersymmetric Pais–Uhlenbeck oscillator for a particular choice of its frequencies is proposed. The advantages of such realizations as compared to their analogues introduced in [I. Masterov, J. Math. Phys.53, 072904 (2012)], are discussed.

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