Unitary representations of N-conformal Galilei group

Abstract

All unitary irreducible representations of centrally extended (N-odd) N-conformal Galilei group are constructed. The "on-shell" action of the group is derived and shown to coincide, in special but most important case, with that obtained in: J. Gomis, K. Kamimura, Phys. Rev. {\bf D85} (2012), 045023.

References updated

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Cited by in corpus (10)

• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Conformal Newton-Hooke algebras, Niederer's transformation and Pais-Uhlenbeck oscillator
• Hamiltonian formalisms and symmetries of the Pais-Uhlenbeck oscillator
• On dynamical realizations of l-conformal Galilei groups
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• Non-Relativistic Holography -- A Group-Theoretical Perspective
• The odd-order Pais-Uhlenbeck oscillator
• Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras