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D=4 Extended Galilei Superalgebras with Central Charges
- Source :
- Phys.Lett.B694:478-481,2011
- Publication Year :
- 2010
-
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].<br />Comment: 13 pages
- Subjects :
- High Energy Physics - Theory
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Phys.Lett.B694:478-481,2011
- Publication Type :
- Report
- Accession number :
- edsarx.1009.0182
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1016/j.physletb.2010.10.029