Composite dynamical symmetry of M-branes

TL;DR

This paper reveals that the internal dynamical symmetry of relativistic M-branes can be understood through the enveloping algebra of the Poincaré algebra, extending previous observations of $SO(D-1)$ symmetry.

Contribution

It demonstrates that the internal dynamical $SO(D-1)$ symmetry of M-branes is naturally realized within the extended Poincaré algebra's enveloping algebra.

Findings

Internal dynamical symmetry is embedded in the enveloping algebra.

Symmetry realization involves powers of $1/p_+$.

Provides a new algebraic perspective on M-brane symmetries.

Abstract

It is shown that the previously noticed internal dynamical $SO(D-1)$ symmetry arXiv:1003.5189 for relativistic M-branes moving in $D$-dimensional space-time is naturally realized in the (extended by powers of $\frac{1}{p_+}$) enveloping algebra of the Poincar\'e algebra.