Higher contact-like structures and supersymmetry

TL;DR

This paper explores the connection between higher contact-like geometric structures on supermanifolds and the N=1 super-Poincare group, introducing a new polycontact structure to facilitate this relationship.

Contribution

It introduces a novel vector-valued polycontact structure on supermanifolds and links it to the superspace realization of the N=1 super-Poincare group.

Findings

Established a relation between contact-like structures and supersymmetry.

Introduced the concept of a polycontact structure on supermanifolds.

Connected geometric structures with super-Poincare symmetry.

Abstract

We establish a relation between higher contact-like structures on supermanifolds and the N = 1 super-Poincare group via its superspace realisation. To do this we introduce a vector-valued contact structure, which we refer to as a polycontact structure.