W-symmetry in Conformal Field Theory
P. Bouwknegt, K. Schoutens

TL;DR
This paper reviews the role of W-symmetry in 2D conformal field theory and string theory, focusing on algebra construction methods like Drinfeld-Sokolov reduction and coset models.
Contribution
It provides a comprehensive overview of W-algebra construction techniques and their applications in conformal and string theories.
Findings
Detailed explanation of quantum Drinfeld-Sokolov reduction
Analysis of coset construction of W-algebras
Insights into W-symmetry's role in string theory
Abstract
We review various aspects of -algebra symmetry in two-dimensional conformal field theory and string theory. We pay particular attention to the construction of -algebras through the quantum Drinfeld-Sokolov reduction and through the coset construction.
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