(1,0) superparticle in a curved background and the full set of (1,0) supergravity constraints

TL;DR

This paper analyzes the (1,0) superparticle in curved superspace, deriving the necessary supergravity constraints, symmetries, and algebraic structures to ensure consistent interactions in a curved background.

Contribution

It provides the full set of (1,0) supergravity constraints and describes the local fermionic symmetry and algebraic structure of the superparticle in curved superspace.

Findings

Identified minimal background constraints for superparticle interaction

Presented the most general Siegel-type local fermionic symmetry

Showed the off-shell closure and deformation of the local algebra

Abstract

The classical (1,0) superparticle in a curved superspace is considered. The minimal set of constraints to be imposed on the background for correct inclusion of interaction is found. The most general form of Siegel-type local fermionic symmetry is presented. Local algebra of the theory is shown to be closed off-shell and nontrivially deformed as compared to the flat one. The requirements leading to the full set of (1,0) supergravity constraints are presented.