2014/12/31 by Ivan Masterov
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Conformal map #Differential operator #Lie superalgebra #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum Mechanics and Non-Hermitian Physics #Realization (probability) #Representation (politics) #Superalgebra #Theoretical physics #Transformation (genetics) #hep-th #math-ph #math.MP
paper · pdf · doi:10.1142/s021773231550073x
published as Mod. Phys. Lett. A, Vol. 30, No. 13 (2015) 1550073 · V2: 15 pages, typos corrected. Published version
arxiv created 2015/04/08 · openalex publication_date 2015/04/08 · arxiv updated 2015/04/09 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
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.