Galilean Superconformal Symmetries
J.A. de Azcarraga (Dept. of Theoretical Physics, University of, Valencia), J. Lukierski (Institute for Theoretical Physics, University of, Wroclaw)
TL;DR
This paper constructs a non-relativistic extension of the extended superconformal algebra in four dimensions, revealing new Galilean superconformal symmetries with internal symmetry structures and central charges.
Contribution
It introduces the non-relativistic (N=2k)-extended Galilean superconformal algebra via a contraction of the relativistic superconformal algebra su(2,2;N).
Findings
The Galilean superconformal algebra has the same number of generators as the relativistic one.
The usp(2k) algebra describes non-relativistic internal symmetries.
Generators from the coset u(2k)/usp(2k) become central charges after contraction.
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.
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