Dynamical interpretation of nonrelativistic conformal groups

Dynamical interpretation of nonrelativistic conformal groups

It is shown that N-Galilean conformal algebra with N odd and nontrivial central charge is the maximal symmetry algebra for higher derivative free theory both on classical and quantum levels. By maximal symmetry algebra the Lie algebra of the maximal group of space–time symmetry transformations is un...

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Veröffentlicht in:Physics letters. B 2013-04, Vol.721 (4-5), p.319-322
Hauptverfasser: Andrzejewski, K., Gonera, J.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Charge
Derivatives
Elementary particles
Lie groups
Preserves
Symmetry
Transformations
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Zusammenfassung:It is shown that N-Galilean conformal algebra with N odd and nontrivial central charge is the maximal symmetry algebra for higher derivative free theory both on classical and quantum levels. By maximal symmetry algebra the Lie algebra of the maximal group of space–time symmetry transformations is understood which preserves higher order free dynamics.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2013.03.020