The quantum chiral Minkowski and conformal superspaces

TL;DR

This paper introduces a quantum deformation of the four-dimensional chiral super Minkowski space, embedding it within a quantum super Grassmannian, and details the actions of quantum supergroups on these spaces.

Contribution

It provides a novel quantum deformation framework for chiral super Minkowski and conformal superspaces using quantum super Grassmannians.

Findings

Quantum deformation of chiral super Minkowski space constructed

Actions of Poincaré and conformal quantum supergroups explicitly described

Embedding within quantum super Grassmannian demonstrated

Abstract

We give a quantum deformation of the chiral super Minkowski space in four dimensions as the big cell inside a quantum super Grassmannian. The quantization is performed in such way that the actions of the Poincar\'e and conformal quantum supergroups on the quantum Minkowski and quantum conformal superspaces are presented.