Examples of D=11 S-supersymmetric actions for point-like dynamical systems

TL;DR

This paper explores non-standard super extensions of the D=11 Poincare algebra, presenting two invariant point-like dynamical system actions with off-shell symmetry and local fermionic kappa-symmetry, advancing models in high-dimensional supersymmetry.

Contribution

It introduces explicit examples of D=11 supersymmetric actions invariant under a novel S-algebra with off-shell closure and kappa-symmetry, contributing to supergravity and string theory models.

Findings

Two invariant actions for point-like systems are constructed.

The explicit form of the S-algebra is provided.

The actions exhibit off-shell closure and local fermionic symmetry.

Abstract

A non standard super extensions of the Poincare algebra (S-algebra [1,2]), which seems to be relevant for construction of various D=11 models, are studied. We present two examples of actions for point-like dynamical systems, which are invariant under off-shell closed realization of the S-algebra as well as under local fermionic $\kappa$-symmetry. On this ground, an explicit form of the S-algebra is advocated.