Conformal Galilei groups, Veronese curves, and Newton-Hooke spacetimes
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Finite-dimensional nonrelativistic conformal Lie algebras spanned by polynomial vector fields of Galilei spacetime arise if the dynamical exponent is z=2/N with N=1,2,.... Their underlying group structure and matrix representation are constructed (up to a covering) by means of the Veronese map of degree N. Suitable quotients of the conformal Galilei groups provide us with Newton-Hooke nonrelativistic spacetimes with a quantized reduced negative cosmological constant \lambda=-N.
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Cited by 3 Pith papers
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Non-Relativistic Chern-Simons Supergravity with Torsion
A parameterized family of non-relativistic supergravity theories with torsion is obtained in three dimensions from the semigroup expansion of an N=2 supersymmetric Mielke-Baekler algebra.
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Perfect fluid equations with nonrelativistic conformal supersymmetries
Constructs supersymmetric perfect fluid equations for N=2 conformal Newton-Hooke and N=1 l-conformal Galilei superalgebras using Hamiltonian methods with anticommuting superpartner fields for density and velocity.
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Remarks on Galilean electromagnetism
Galilean electromagnetism equations with sources are invariant under the l-conformal Galilei group for arbitrary half-integer l, connecting inertial frames to accelerated ones and indicating potential instability.
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