Bosonic p-brane and A--D--M decomposition

TL;DR

This paper introduces a master action for bosonic p-branes that unifies the Nambu-Goto and Polyakov formalisms, revealing an A--D--M split and exploring gauge symmetries through a Hamiltonian approach.

Contribution

It develops an independent metric formulation for p-branes and naturally derives the A--D--M decomposition within this framework.

Findings

Unified master action interpolates between formalisms.

Natural emergence of A--D--M split in p-brane dynamics.

Analysis of gauge symmetries via constrained Hamiltonian method.

Abstract

A master action for the bosonic p-brane, interpolating between the Nambu--Goto and Polyakov formalisms, is discussed. The fundamental arbitrariness of extended structures (p-brane) embeded in space time manifold has been exploited to build an independent metric in the brane world volume. The cosmological term for the generic case follows naturally in the scheme. The dynamics of the structure leads to a natural emergence of the A--D--M like split of this world volume. The role of the gauge symmetries vis-\`{a}-vis reparametrization symmetries is analyzed by a constrained Hamiltonian approach.