Lowest weight representations of super Schrodinger algebras in low dimensional spacetime
arXiv:1011.5025 · doi:10.1088/1742-6596/284/1/012007
Abstract
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.
10pages, talk given at GROUP28 conference New Castle 26-30th July 2010, reference added
References in corpus (11)
- Toward an AdS/cold atoms correspondence: a geometric realization of the Schroedinger symmetry
- Gravity duals for non-relativistic CFTs
- Nonrelativistic conformal field theories
- Galilean Conformal Algebras and AdS/CFT
- Non-relativistic conformal symmetries and Newton-Cartan structures
- Acceleration-Extended Galilean Symmetries with Central Charges and their Dynamical Realizations
- On AdS/CFT of Galilean Conformal Field Theories
- Non-Relativistic M2-brane Gauge Theory and New Superconformal Algebra
- Remark on quantum mechanics with N=2 Schrodinger supersymmetry
- On irreducible representations of the exotic conformal Galilei algebra
- D=4 Extended Galilei Superalgebras with Central Charges