Physics NotePublished
Symmetries of the Schrödinger Equation and Algebra/Superalgebra Duality
F. Toppan
Publication details
- Authors
- F. Toppan
- Type
- Physics Note
- Status
- Published
- Publication date
- 05/12/2014
- Description
- Some key features of the symmetries of the Schr\"odinger equation that are common to a much broader class of dynamical systems (some under construction) are illustrated. I discuss the algebra/superalgebra duality involving first and second-order differential operators. It provides different viewpoints for the spectrum-generating subalgebras. The representation-dependent notion of on-shell symmetry is introduced. The difference in associating the time-derivative symmetry operator with either a root or a Cartan generator of the $sl(2)$ subalgebra is discussed. In application to one-dimensional Lagrangian superconformal sigma-models it implies superconformal actions which are either supersymmetric or non-supersymmetric.
- Year
- 2014
- Number
- CBPF-NF-012/14
- Linked to a thesis
- No
- Linked to a grant
- No