N=3 super-Schwarzian from OSp(3|2) invariants
High Energy Physics - Theory
2020-10-28 v2 Mathematical Physics
math.MP
Abstract
It was recently demonstrated that the N=0,1,2,4 super-Schwarzian derivatives can be constructed by applying the method of nonlinear realizations to the finite-dimensional (super)conformal groups SL(2,R), OSp(1|2), SU(1,1|1), and SU(1,1|2), respectively. In this work, a similar scheme is realised for OSp(3|2). It is shown that the N=3 case exhibits a surprisingly richer structure of invariants, the N=3 super-Schwarzian being a particular member. We suggest that the extra invariants may prove useful in building an N=3 supersymmetric extension of the Sachdev-Ye-Kitaev model.
Cite
@article{arxiv.2009.13064,
title = {N=3 super-Schwarzian from OSp(3|2) invariants},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:2009.13064},
year = {2020}
}
Comments
V2: 10 pages, a typo fixed in the abstract and main text; the version to appear in PLB. arXiv admin note: text overlap with arXiv:2007.04015