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arXiv · 1101.4202

Galilean Conformal and Superconformal Symmetries

Jerzy Lukierski
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Abstract

Firstly we discuss briefly three different algebras named as nonrelativistic (NR) conformal: Schroedinger, Galilean conformal and infinite algebra of local NR conformal isometries. Further we shall consider in some detail Galilean conformal algebra (GCA) obtained in the limit c equal to infinity from relativistic conformal algebra O(d+1,2) (d - number of space dimensions). Two different contraction limits providing GCA and some recently considered realizations will be briefly discussed. Finally by considering NR contraction of D=4 superconformal algebra the Galilei conformal superalgebra (GCSA) is obtained, in the formulation using complex Weyl supercharges.

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Jerzy Lukierski. 2011-01-21. Galilean Conformal and Superconformal Symmetries. https://doi.org/10.1134/s1063778812100134

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