pith. sign in

arxiv: 1009.0182 · v1 · pith:LZXZ3YTYnew · submitted 2010-09-01 · ✦ hep-th · math-ph· math.MP

D=4 Extended Galilei Superalgebras with Central Charges

classification ✦ hep-th math-phmath.MP
keywords centralchargesgalileisuperalgebraextendedgetsinternaln-extended
0
0 comments X
read the original 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].

This paper has not been read by Pith yet.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.