Supersymmetric Model with Grassmann-odd Lagrangian

TL;DR

This paper introduces a novel supersymmetric one-dimensional model featuring a Grassmann-odd Lagrangian, which includes both kinetic and interaction terms for a real scalar superfield, expanding the understanding of supersymmetric theories.

Contribution

It presents the first supersymmetric model with a Grassmann-odd Lagrangian that incorporates interaction terms, contrasting with traditional models with even Lagrangians.

Findings

The model includes both kinetic and interaction terms.

It demonstrates the viability of Grassmann-odd Lagrangians in supersymmetry.

Provides a new framework for supersymmetric theories with Grassmann-odd structures.

Abstract

A supersymmetric $D = 1, N =1$ model with a Grassmann-odd Lagrangian is proposed which, in contrast to the model with an even Lagrangian, contains not only a kinetic term but also an interaction term for the coordinates entering into one real scalar Grassmann-even (bosonic) superfield.