Gauged twistor spinors and symmetry operators

TL;DR

This paper explores gauged twistor spinors in curved backgrounds, showing their relation to conformal Killing-Yano forms and providing methods to construct them from ordinary twistor spinors.

Contribution

It establishes the connection between gauged twistor spinors and conformal Killing-Yano forms, and introduces a way to derive gauged twistor spinors from ordinary ones in constant curvature backgrounds.

Findings

Gauged twistor spinor bilinears satisfy the gauged conformal Killing-Yano equation.

Symmetry operators for gauged twistor spinors can be built from conformal Killing-Yano forms.

Provides a method to obtain gauged twistor spinors from ordinary twistor spinors.

Abstract

We consider gauged twistor spinors which are supersymmetry generators of supersymmetric and superconformal field theories in curved backgrounds. We show that the spinor bilinears of gauged twistor spinors satify the gauged conformal Killing-Yano equation. We prove that the symmetry operators of the gauged twistor spinor equation can be constructed from ordinary conformal Killing-Yano forms in constant curvature backgrounds. This provides a way to obtain gauged twistor spinors from ordinary twistor spinors.