Fundamental Structures of M(brane) Theory

TL;DR

This paper explores the fundamental algebraic structures and symmetries in M-brane theory, revealing new dynamical symmetries related to Poincaré invariance that are important for quantization and integrability.

Contribution

It identifies and characterizes new dynamical symmetry algebras generalizing the Witt-Virasoro algebra within M-brane theory.

Findings

Existence of a dynamical symmetry related to Poincaré invariance.

Generalization of special diffeomorphism algebras.

Relevance to quantization and integrability of M-brane models.

Abstract

A dynamical symmetry, as well as special diffeomorphism algebras generalizing the Witt-Virasoro algebra, related to Poincar\'e-invariance and crucial with regard to quantisation, questions of integrability, and M(atrix) theory, are found to exist in the theory of relativistic extended objects of any dimension.