Supersymmetric Quantum Chiral Higher Spin Gravity

TL;DR

This paper investigates the quantum aspects of supersymmetric extensions of four-dimensional chiral higher spin gravity, analyzing their spectra, actions, and amplitudes, including a dimensional reduction to a system with massive higher spins.

Contribution

It provides the first detailed analysis of quantum properties and Feynman rules for N=1 and N=4 supersymmetric chiral higher spin gravities in four dimensions.

Findings

Computed tree-level and one-loop amplitudes for supersymmetric higher spin systems.

Established Feynman rules in superspace and light-front gauge.

Performed dimensional reduction revealing quantum properties of massive higher spin fields.

Abstract

We study quantum properties of supersymmetric N=1 and N=4 extensions of the four dimensional bosonic Chiral Higher Spin Gravities (HiSGRAs). We discuss the spectra, the classical actions and define the Feynman rules in N=1 and N=4 superspaces in the light-front gauge. Using these Feynman rules, we compute tree and one-loop amplitudes for these systems. A dimensional reduction to a system with N=2 supersymmetry and with massive higher spin fields is performed and quantum properties of this system are discussed.