Supersymmetric extensions of Schrödinger-invariance

Simple item page
dc.creatorHenkel, Malte
dc.creatorUnterberger, Jeremie
dc.date2005-12-08
dc.date.accessioned2026-07-07T06:54:36Z
dc.date.available2026-07-07T06:54:36Z
dc.descriptionThe set of dynamic symmetries of the scalar free Schrödinger equation in d space dimensions gives a realization of the Schrödinger 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 Lévy-Leblond equation. A N=2 supersymmetric extension of these equations leads, respectively, to a `super-Schrödinger' 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 Schrödinger 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 Schrödinger-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.
dc.descriptionLatex 2e, 46 pages, with 3 figures included
dc.identifierhttps://arxiv.org/abs/math-ph/0512024
dc.identifierhttp://arxiv.org/abs/math-ph/0512024
dc.identifierNucl.Phys. B746 (2006) 155-201
dc.identifierdoi:10.1016/j.nuclphysb.2006.03.026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105996
dc.subjectMathematical Physics
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Theory
dc.titleSupersymmetric extensions of Schrödinger-invariance
dc.typetext

Files

Collections

arXiv