A Polynomial Weyl Invariant Spinning Membrane Action

TL;DR

This paper reviews the construction of a polynomial, Weyl-invariant spinning membrane action with linear supersymmetry, emphasizing its algebraic structure and invariance properties without a cosmological constant.

Contribution

It introduces a novel polynomial Weyl-invariant spinning membrane action with a modified supersymmetry transformation based on a new superconformal algebra.

Findings

The action is polynomial and Weyl-invariant.

Supersymmetry is linearly realized.

The transformation law is derived from a new sum-rule.

Abstract

A review of the construction of a Weyl-invariant spinning-membrane action that is $polynomial$ in the fields, without a cosmological constant term, comprised of quadratic and quartic-derivative terms, and where supersymmetry is linearly realized, is presented. The action is invariant under a $modified$ supersymmetry transformation law which is derived from a new $ Q + K + S $ sum-rule based on the 3D-superconformal algebra .