Octonions and Super Lie algebra
Khaled Abdel-Khalek
Abstract
We discuss how to represent the non-associative octonionic structure in terms of the associative matrix algebra using the left and right octonionic operators. As an example we construct explicitly some Lie and Super Lie algebra. Then we discuss the notion of octonionic Grassmann numbers and explain its possible application for giving a superspace formulation of the minimal supersymmetric Yang-Mills models.
Create a lesson
Related papers
A universal sector of N=1 class S spectra
Ritabrata Bhattacharya, Abhay Katyal, Oscar Varela
Reflected entropy and islands in JT gravity from partial dimensional reduction
Debarshi Basu, Himanshu Chourasiya
q-deformed Weil-Petersson Volumes from the Spectral Edge of DSSYK and Supersymmetric Extensions
Wasif Ahmed, Joydeep Naskar, Krishan Saraswat
Modular Properties of Generalised Gibbs Ensembles: The Deformed KdV Hierarchy
Faisal Karimi
The Quasiparticle Ansatz for Relativistic Continuous Matrix Product States
Silviu S. Pufu, Benjamin T. Søgaard, Spyros Terlemes
Anomaly induced transport in holographic superconductors
Ashis Tamang, Nishal Rai, Javier Esteban et al.