Dynamical realizations of the Lifshitz group

  title={Dynamical realizations of the Lifshitz group},
  author={Anton V. Galajinsky},
  journal={Physical Review D},
  • A. Galajinsky
  • Published 25 January 2022
  • Mathematics, Physics
  • Physical Review D
Dynamical realizations of the Lifshitz group are studied within the group–theoretic framework. A generalization of the 1 d conformal mechanics is constructed, which involves an arbitrary dynamical exponent z . A similar generalization of the Ermakov– Milne–Pinney equation is proposed. Invariant derivative and field combinations are introduced, which enable one to construct a plethora of dynamical systems enjoying the Lifshitz symmetry. A metric of the Lorentzian signature in ( d + 2)–dimensional… 

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