Lowest weight representations of super Schrodinger algebras in low dimensional spacetime

Details Lowest weight representations of super Schrodinger algebras in low dimensional spacetime Lowest weight representations of super Schrodinger algebras in low dimensional spacetime

2010-11-23

arxiv.org/abs/1011.5025v2

J.Phys.Conf.Ser.284:012007,2011

Physics

Mathematical Physics

10pages, talk given at GROUP28 conference New Castle 26-30th July 2010, reference added

Scientific paper

10.1088/1742-6596/284/1/012007

We investigate the lowest weight representations of the super Schrodinger algebras introduced by Duval and Horvathy. This is done by the same procedure as the semisimple Lie algebras. Namely, all singular vectors within the Verma modules are constructed explicitly then irreducibility of the associated quotient modules is studied again by the use of singular vectors. We present the classification of irreducible Verma modules for the super Schrodinger algebras in (1+1) and (2+1) dimensional spacetime with N = 1, 2 extensions.

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