N=1 Super-symmetry Lagrangian in the de Sitter space

TL;DR

This paper constructs an $N=1$ super-symmetric field theory in de Sitter space, defining generators, gauge transformations, and deriving the super-symmetry Lagrangian in ambient space notation.

Contribution

It presents the first classical $N=1$ super-symmetric field theory formulation in de Sitter space with explicit Lagrangian derivation.

Findings

Defined super-symmetry generators and gauge transformations in 5D ambient space.

Constructed super-fields and superspace in de Sitter space.

Derived the explicit super-symmetry Lagrangian in ambient space notation.

Abstract

Previously, Pahlavan, Rouhani and Takook have introduced a novel $N=1$ super-symmetric algebra in de Sitter space-time. This paper is an attempt to build a proper $N=1$ super-symmetric field theory of classical level in the de Sitter space. The generators, gauge transformations and different fields in a 5-dimensional ambient space notation are defined and corresponding super-space and super-fields are introduced. Finally, the $N=1$ super-symmetry Lagrangian in the de Sitter ambient space notation has been derived.