$N=2$ quantum chiral superfields and quantum super bundles

TL;DR

This paper constructs the superalgebra of N=2 chiral quantum superfields within a quantum supergroup framework, and models the quantum deformation of chiral Minkowski superspace as a quantum principal bundle.

Contribution

It introduces a novel realization of N=2 chiral superfields as a subalgebra of the quantum supergroup SL_q(4|2) and describes their geometric interpretation as a quantum principal bundle.

Findings

Superalgebra of N=2 chiral superfields embedded in SL_q(4|2)

Induced coaction on chiral superfields from quantum supergroup multiplication

Quantum deformation of chiral Minkowski superspace as a quantum principal bundle

Abstract

We give the superalgebra of $N=2$ chiral (and antichiral) quantum superfields realized as a subalgebra of the quantum supergroup $\mathrm{SL}_q(4|2)$. The multiplication law in the quantum supergroup induces a coaction on the set of chiral superfields. We also realize the quantum deformation of the chiral Minkowski superspace as a quantum principal bundle.