On chiral quantum superspaces

TL;DR

This paper introduces a quantum deformation of the 4D chiral Minkowski superspace, embedding it into the chiral conformal superspace, and constructs it as a quantum homogeneous superspace with deformed function rings and supergroup coactions.

Contribution

It presents the first quantum deformation of the chiral Minkowski superspace as a quantum homogeneous superspace embedded in the chiral conformal superspace.

Findings

Successful construction of quantum deformations as homogeneous superspaces

Deformation of the ring of regular functions with quantum supergroup coaction

Embedding of the deformed superspace into the chiral conformal superspace

Abstract

We give a quantum deformation of the chiral Minkowski superspace in 4 dimensions embedded as the big cell into the chiral conformal superspace. Both deformations are realized as quantum homogeneous superspaces: we deform the ring of regular functions together with a coaction of the corresponding quantum supergroup.