Hamiltonian construction of W-gravity actions

TL;DR

This paper demonstrates a Hamiltonian formalism approach to constructing and understanding W-gravity actions, providing a systematic method for gauge invariant actions for conformally extended algebras.

Contribution

It introduces a Hamiltonian framework for constructing W-gravity actions and gauge invariant actions for extended conformal algebras.

Findings

Unified Hamiltonian construction of W-gravity actions

Method for gauge invariant actions for extended conformal algebras

Simplifies understanding of W-gravity dynamics

Abstract

We show that all W-gravity actions can be easilly constructed and understood from the point of view of the Hamiltonian formalism for the constrained systems. This formalism also gives a method of constructing gauge invariant actions for arbitrary conformally extended algebras.