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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].

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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}
}

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13 pages