Higher-derivative mechanics with N=2 l-conformal Galilei supersymmetry

Abstract

The analysis previously developed in [J. Math. Phys. 55 (2014) 102901] is used to construct systems which hold invariant under N=2 l-conformal Galilei superalgebra. The models describe two different supersymmetric extensions of a free higher-derivative particle. Their Newton-Hooke counterparts are derived by applying appropriate coordinate transformations.

arXiv comment14 pages, published version with minor changes

References in corpus (62)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
• Non-relativistic conformal symmetries and Newton-Cartan structures
• The geometry of Schrödinger symmetry in non-relativistic CFT
• Exotic Galilean Conformal Symmetry and its Dynamical Realisations
• Local scale invariance and strongly anisotropic equilibrium critical systems
• Newton-Hooke spacetimes, Hpp-waves and the cosmological constant
• On Schrödinger superalgebras
• Supersymmetric Calogero models by gauging
• Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
• Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
• (Super)conformal many-body quantum mechanics with extended supersymmetry
• Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
• Schrodinger Equations for Higher Order Non-relativistic Particles and N-Galilean Conformal Symmetry
• Comments on the Dynamics of the Pais-Uhlenbeck Oscillator
• Remarks on l-conformal extension of the Newton-Hooke algebra
• N=4 superconformal Calogero models
• Galilean Superconformal Symmetries
• Conformal mechanics in Newton-Hooke spacetime
• Galilean Conformal Mechanics from Nonlinear Realizations
• Dynamical realization of l-conformal Galilei algebra and oscillators
• Conformal Newton-Hooke symmetry of Pais-Uhlenbeck oscillator
• Supersymmetric Extension of Galilean Conformal Algebras
• NR $CF{T}_3$ duals in M-theory
• Supersymmetric extensions of Schrödinger-invariance
• Supersymmetric Extension of GCA in 2d
• More super Schrodinger algebras from psu(2,2|4)
• Dynamical realizations of l-conformal Newton-Hooke group
• N=4 mechanics, WDVV equations and roots
• Nonrelativistic conformal groups and their dynamical realizations
• New insight into WDVV equation
• Super Galilean conformal algebra in AdS/CFT
• Remark on quantum mechanics with conformal Galilean symmetry
• The exotic conformal Galilei algebra and nonlinear partial differential equations
• N=4 supersymmetric 3-particles Calogero model
• Super Schrodinger algebra in AdS/CFT
• Remark on quantum mechanics with N=2 Schrodinger supersymmetry
• 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
• N=4 superconformal n-particle mechanics via superspace
• N=2 superconformal Newton-Hooke algebra and many-body mechanics
• Schrodinger invariant solutions of M-theory with Enhanced Supersymmetry
• Intertwining operators for l-conformal Galilei algebras and hierarchy of invariant equations
• On nonlinear partial differential equations with an infinite-dimensional conditional symmetry
• Comments on N=4 Superconformal Extension of the Calogero Model
• Dynamical realizations of N=1 l-conformal Galilei superalgebra
• Four types of (super)conformal mechanics: D-module reps and invariant actions
• N=2 supersymmetric extension of l-conformal Galilei algebra
• Super-extended noncommutative Landau problem and conformal symmetry
• The algebraic structure of Galilean superconformal symmetries
• Chiral and Real N=2 supersymmetric l-conformal Galilei algebras
• Harmonic N=2 Mechanics
• N = 2 Galilean superconformal algebras with central extension
• SUSY properties of warped AdS${}_3$
• Nonrelativistic conformal transformations in Lagrangian formalism
• Unitary representations of N-conformal Galilei group
• Possible Central Extensions of Non-Relativistic Conformal Algebras in 1+1
• Higher-derivative N=4 superparticle in three-dimensional spacetime
• Lowest Weight Representations, Singular Vectors and Invariant Equations for a Class of Conformal Galilei Algebras
• About the Non Relativistic Structure of the AdS/CFT Superalgebras

Cited by in corpus (12)

• An alternative Hamiltonian formulation for the Pais-Uhlenbeck oscillator
• On dynamical realizations of l-conformal Galilei and Newton-Hooke algebras
• Super-GCA from $\mathcal{N}=(2,2)$ Super-Virasoro
• The odd-order Pais-Uhlenbeck oscillator
• Coset spaces and Einstein manifolds with l-conformal Galilei symmetry
• Addendum to "Super-GCA from $\mathcal{N}=(2,2)$ super-Virasoro": Super-GCA connection with tensionless strings
• N=2 supersymmetric Pais-Uhlenbeck oscillator
• New realizations of N=2 l-conformal Newton-Hooke superalgebra
• Generalized Niederer's transformation for quantum Pais-Uhlenbeck oscillator
• Superfield approach to higher derivative N=1 superconformal mechanics
• N=1,2,3 l-conformal Galilei superalgebras
• N=2 supersymmetric odd-order Pais-Uhlenbeck oscillator