A Note on Lie-Lorentz Derivatives
Tomas Ortin
Abstract
The definition of ``Lie derivative'' of spinors with respect to Killing vectors is extended to all kinds of Lorentz tensors. This Lie-Lorentz derivative appears naturally in the commutator of two supersymmetry transformations generated by Killing spinors and vanishes for Vielbeins. It can be identified as the generator of the action of isometries on supergravity fields and its use for the calculation of supersymmetry algebras is revised and extended.
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.