Free field realizations in representation theory and conformal field theory

Abstract

Invited lecture at the International Congress of Mathematicians, Zuerich, August 3-11, 1994 (extended version), reviews free field realizations of affine Kac-Moody and W-algebras and their applications.

20 pages

References in corpus (2)

• The Relation between Quantum W algebras and Lie algebras
• Integrals of Motion and Quantum Groups

Cited by in corpus (9)

• BPS/CFT correspondence IV: sigma models and defects in gauge theory
• Galilean contractions of $W$-algebras
• Twisted $sl(3,\mathbf{C}{)}_k^{(2)}$ Current Algebra: Free Field Representation and Screening Currents
• Higher-order Galilean contractions
• Multi-graded Galilean conformal algebras
• $A_2^{(2)}$ Parafermions: A New Conformal Field Theory
• Screening Currents in Affine Current Algebra
• Yang-Yang functions, Monodromy and knot polynomials
• Explicit field realizations of W algebras