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

Name: New realizations of 𝒩 = 2l-conformal Newton–Hooke superalgebra
Creator: Masterov, Ivan
Keywords: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), 0103 physical sciences, FOS: Physical sciences, Mathematical Physics (math-ph), 16. Peace & justice, 01 natural sciences, Mathematical Physics, 6. Clean water

Masterov, Ivan

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Modern Physics Letters A

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arXiv.org e-Print Archive

Preprint . 2014

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Modern Physics Letters A

Article . 2015 . Peer-reviewed

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https://dx.doi.org/10.48550/ar...

Article . 2014

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https://dx.doi.org/10.1142/s02...

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

descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 13 Apr 2015Embargo end date: 01 Jan 2014 English Publisher:World Scientific Pub Co Pte LtJournal:Modern Physics Letters A, volume 30, page 1,550,073 (issn: 0217-7323, eissn: 1793-6632,

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Authors: Masterov, Ivan;

doi: 10.1142/s021773231550073x , 10.48550/arxiv.1412.1751

arXiv: 1412.1751

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

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Abstract

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.

Related Organizations

Tomsk Polytechnic University
Russian Federation

Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), FOS: Physical sciences, Mathematical Physics (math-ph), Mathematical Physics

9 Research products, page 1 of 1

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