Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space

Abstract

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 modules is analyzed via explicitly constructed singular vectors. The classification of the irreducible lowest weight modules is given for both massive and massless representations. A vector field realization of the N = 1, 2 super Schrodinger algebras is also presented.

19 pages, no figure

References in corpus (4)

• Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
• Gravity duals for non-relativistic CFTs
• Nonrelativistic conformal field theories
• Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra

Cited by in corpus (2)

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• The Lie algebra of the lowest transitively differential group of degree three