W-Strings on Group Manifolds

TL;DR

This paper develops a method to construct actions for W-strings propagating on group manifolds using Hamiltonian formalism and W-algebra representations, with an explicit example for the W_3 string.

Contribution

It introduces a novel procedure for formulating W-string actions on group manifolds utilizing Hamiltonian methods and Kac-Moody current representations.

Findings

Constructed explicit W_3 string action on group manifolds.

Demonstrated the use of Hamiltonian formalism in W-string theory.

Provided a framework for future W-string model developments.

Abstract

We present a procedure for constructing actions describing propagation of W-strings on group manifolds by using the Hamiltonian canonical formalism and representations of W-algebras in terms of Kac-Moody currents. An explicit construction is given in the case of the $W_3$ string.