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4 papers · 1 filter
Some representations of planar Galilean conformal algebra
N. Aizawa
Representation theory of an infinite dimensional Galilean conformal algebra introduced by Martelli and Tachikawa is developed. We focus on the algebra defined in (2+1) dimensional…
N = 2 Galilean superconformal algebras with central extension
N. Aizawa
N = 2 Supersymmetric extensions of Galilean conformal algebra (GCA), specified by spin \ell and dimension of space d, are investigated. Duval and Horvathy showed that the \ell = 1/…
Highest weight representations and Kac determinants for a class of conformal Galilei algebras with central extension
Naruhiko Aizawa, Phillip S. Isaac, Yuta Kimura
We investigate the representations of a class of conformal Galilei algebras in one spatial dimension with central extension. This is done by explicitly constructing all singular ve…
Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
N. Aizawa
Lowest weight modules, in particular, Verma modules over the N = 1,2 super Schrodinger algebras in (1+1) dimensional spacetime are investigated. The reducibility of the Verma modul…