Galilean Conformal and Superconformal Symmetries
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.
Keywords
Cite
@article{arxiv.1101.4202,
title = {Galilean Conformal and Superconformal Symmetries},
author = {Jerzy Lukierski},
journal= {arXiv preprint arXiv:1101.4202},
year = {2015}
}
Comments
16 pages, LateX; talk presented at XIV International Conference "Symmetry Methods in Physics", Tsakhkadzor, Armenia, August 16-22, 2010