Galilean Superconformal Symmetries
Mathematical Physics
2009-07-24 v3 High Energy Physics - Theory
math.MP
Abstract
We consider the non-relativistic c -> \infty contraction limit of the (N=2k)- extended D=4 superconformal algebra su(2,2;N), introducing in this way the non-relativistic (N=2k)-extended Galilean superconformal algebra. Such a Galilean superconformal algebra has the same number of generators as su(2,2|2k). The usp(2k) algebra describes the non-relativistic internal symmetries, and the generators from the coset u(2k)/usp(2k) become central charges after contraction.
Cite
@article{arxiv.0905.0141,
title = {Galilean Superconformal Symmetries},
author = {J. A. de Azcarraga and J. Lukierski},
journal= {arXiv preprint arXiv:0905.0141},
year = {2009}
}
Comments
15 pages; v3:2 reference added, misprints corrected. Version to appear in PLB