On the Hopf Structure of W(2) Algebra and N=1 Superconformal Algebra in the Ope Language

TL;DR

This paper explores the Hopf algebra structures of W(2) and N=1 superconformal algebras using free scalar fields within the operator product expansion framework, revealing their algebraic properties.

Contribution

It provides the first detailed construction of Hopf structures for these algebras in the OPE language using bosonic and fermionic Feigin-Fuchs fields.

Findings

Hopf structures explicitly constructed for W(2) and N=1 superconformal algebras

Use of bosonic and fermionic Feigin-Fuchs fields in OPE framework

Enhanced understanding of algebraic properties in conformal field theories

Abstract

Hopf structure of the prototype realizations of the W(2)-algebra and also N=1 superconformal algebra are obtained using the bosonic and also fermionic Feigin-Fuchs type of free massless scalar fields in the operator product expansion (OPE) language.