Physics – Mathematical Physics
Scientific paper
2005-12-08
Nucl.Phys. B746 (2006) 155-201
Physics
Mathematical Physics
Latex 2e, 46 pages, with 3 figures included
Scientific paper
10.1016/j.nuclphysb.2006.03.026
The set of dynamic symmetries of the scalar free Schr\"odinger equation in d space dimensions gives a realization of the Schr\"odinger algebra that may be extended into a representation of the conformal algebra in d+2 dimensions, which yields the set of dynamic symmetries of the same equation where the mass is not viewed as a constant, but as an additional coordinate. An analogous construction also holds for the spin-1/2 L\'evy-Leblond equation. A N=2 supersymmetric extension of these equations leads, respectively, to a `super-Schr\"odinger' model and to the (3|2)-supersymmetric model. Their dynamic supersymmetries form the Lie superalgebras osp(2|2) *_s sh(2|2) and osp(2|4), respectively. The Schr\"odinger algebra and its supersymmetric counterparts are found to be the largest finite-dimensional Lie subalgebras of a family of infinite-dimensional Lie superalgebras that are systematically constructed in a Poisson algebra setting, including the Schr\"odinger-Neveu-Schwarz algebra sns^(N) with N supercharges. Covariant two-point functions of quasiprimary superfields are calculated for several subalgebras of osp(2|4). If one includes both N=2 supercharges and time-inversions, then the sum of the scaling dimensions is restricted to a finite set of possible values.
Henkel Malte
Unterberger Jérémie
No associations
LandOfFree
Supersymmetric extensions of Schrödinger-invariance does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Supersymmetric extensions of Schrödinger-invariance, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Supersymmetric extensions of Schrödinger-invariance will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-443290