N-Conformal Galilean Group as a Maximal Symmetry Group of Higher-Derivative Free Theory

Abstract

AbstractIt is shown that for N odd the N-conformal Galilean algebra is the algebra of maximal Noether symmetry group, both on the classical and quantum level, of free higher derivative dynamics.KeywordsQuantum LevelCentral ExtensionSchrodinger EquationSymmetry GeneratorPoint TransformationThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.