Lowest Weight Representations of Super Schrodinger Algebras in One Dimensional Space
arXiv:1009.0085 · doi:10.1063/1.3533920
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.
arXiv comment19 pages, no figure
References in corpus (13)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- SCHRÖdinger Invariance and Strongly Anisotropic Critical Systems
- Conformal Invariance for Non-Relativistic Field Theory
- On Schrödinger superalgebras
- Extended Superconformal Galilean Symmetry in Chern-Simons Matter Systems
- Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
- Supersymmetric extensions of Schrödinger-invariance
- More super Schrodinger algebras from psu(2,2|4)
- Intertwining Operator Realization of Non-Relativistic Holography
- An Index for Non-relativistic Superconformal Field Theories
- Super Schrodinger algebra in AdS/CFT