Quantum Chiral Superfields
Abstract
We define the ordinary Minkowski space inside the conformal space according to Penrose and Manin as homogeneous spaces for the Poincar\'e and conformal group respectively. We realize the supersymmetric (SUSY) generalizations of such homogeneous spaces over the complex and the real fields. We finally investigate chiral (antichiral) superfields, which are superfields on the super Grassmannian, Gr(2|1, 4|1), respectively on Gr(2|0, 4|1). They ultimately give the twistor coordinates necessary to describe the conformal superspace as the flag Fl(2|0, 2|1; 4|1) and the Minkowski superspace as its big cell.
Cite
@article{arxiv.2306.12523,
title = {Quantum Chiral Superfields},
author = {Rita Fioresi and María A. Lledó and Junaid Razzaq},
journal= {arXiv preprint arXiv:2306.12523},
year = {2023}
}
Comments
10 pages. To appear in the proceedings of the ' Avenues of Quantum Field Theory in Curved Spacetime September 14-16, 2022. University of Genova (Italy)