Built on

M. Henkel, Local scale invariance and strongly anisotropic equilibrium critical system, Phys. Rev. Lett. 78
1940
Earlier work this paper cites.
A. Pais, G.E. Uhlenbeck, On field theories with nonlocalized action, Phys. Rev. 79
1950
Earlier work this paper cites.
H. Bacry, J.-M. Lévy-Leblond, Possible Kinematics, J. Math. Phys. 9
1968
Earlier work this paper cites.
J.-R. Derome, J.-G. Dubois, Hooke’s Symmetries and Nonrelativistic Cosmological Kinematics. - I, Nuovo Cim. B 9
1972
Earlier work this paper cites.
U. Niederer, The maximal kinematical invariance group of the free Schrödinger equation, Helv. Phys. Acta 45
1972
Earlier work this paper cites.
J.-G. Dubois, Hooke’s Symmetries and Nonrelativistic Cosmological Kinematics. II: Irreducile Projective Representations, Nuovo Cim. B 15
1973
Earlier work this paper cites.
U. Niederer, The maximal kinematical invariance group of the harmonic oscillator, Helv. Phys. Acta 46
1973
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, Nonrelativistic conformal groups, J. Math. Phys. 38
1997
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, Nonrelativistic conformal groups. II. Further developments and physical applications, J. Math. Phys. 38
1997
Earlier work this paper cites.
G.W. Gibbons, C.E. Patricot, Newton-Hooke space-time, Hpp waves and the cosmological constant, Class. Quant. Grav. 20
2003
Earlier work this paper cites.
A. Smilga, Weak supersymmetry, Phys. Lett. B 585
2004
Earlier work this paper cites.
A.V. Smilga, On dynamics of 5-D superconformal theories, Phys. Atom. Nucl. 70
2007
Earlier work this paper cites.

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2014

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

Masterov, Ivan

Understand

By applying Niederer--like transformation, we construct a representation of the N=2 l-conformal Newton-Hooke 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 [J.
Math.

Built on

M. Henkel, Local scale invariance and strongly anisotropic equilibrium critical system, Phys. Rev. Lett. 78
1940
Earlier work this paper cites.
A. Pais, G.E. Uhlenbeck, On field theories with nonlocalized action, Phys. Rev. 79
1950
Earlier work this paper cites.
H. Bacry, J.-M. Lévy-Leblond, Possible Kinematics, J. Math. Phys. 9
1968
Earlier work this paper cites.
J.-R. Derome, J.-G. Dubois, Hooke’s Symmetries and Nonrelativistic Cosmological Kinematics. - I, Nuovo Cim. B 9
1972
Earlier work this paper cites.
U. Niederer, The maximal kinematical invariance group of the free Schrödinger equation, Helv. Phys. Acta 45
1972
Earlier work this paper cites.
J.-G. Dubois, Hooke’s Symmetries and Nonrelativistic Cosmological Kinematics. II: Irreducile Projective Representations, Nuovo Cim. B 15
1973
Earlier work this paper cites.
U. Niederer, The maximal kinematical invariance group of the harmonic oscillator, Helv. Phys. Acta 46
1973
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, Nonrelativistic conformal groups, J. Math. Phys. 38
1997
Earlier work this paper cites.
J. Negro, M.A. del Olmo, A. Rodriguez-Marco, Nonrelativistic conformal groups. II. Further developments and physical applications, J. Math. Phys. 38
1997
Earlier work this paper cites.
G.W. Gibbons, C.E. Patricot, Newton-Hooke space-time, Hpp waves and the cosmological constant, Class. Quant. Grav. 20
2003
Earlier work this paper cites.
A. Smilga, Weak supersymmetry, Phys. Lett. B 585
2004
Earlier work this paper cites.
A.V. Smilga, On dynamics of 5-D superconformal theories, Phys. Atom. Nucl. 70
2007
Earlier work this paper cites.