D=4 Extended Galilei Superalgebras with Central Charges
High Energy Physics - Theory
2011-06-21 v1 Mathematical Physics
math.MP
Abstract
We perform a nonrelativistic contraction of N-extended Poincare superalgebra with internal symmetry U(N) and general set of N(N-1) real central charges. We show that for even N=2k and particular choice of the dependence of Z_{ij} on light velocity c one gets the N-extended Galilei superalgebra with unchanged number of central charges and compact internal symmetry algebra U(k;H)=USp(2k). The Hamiltonian positivity condition is modified only by one central charge. If we put all the central charges equal to zero one gets the 2k-extended Galilei superalgebra as the subalgebra of recently introduced extended Galilei conformal superalgebra [1,2].
Keywords
Cite
@article{arxiv.1009.0182,
title = {D=4 Extended Galilei Superalgebras with Central Charges},
author = {Jerzy Lukierski},
journal= {arXiv preprint arXiv:1009.0182},
year = {2011}
}
Comments
13 pages