Extended superconformal algebras and free field realizations from Hamiltonian reduction

1993/07/30 by K. Ito, Katsushi Ito, Jens Ole Madsen +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1016/0370-2693(93)90134-4

published as Phys.Lett. B318 (1993) 315-322 · 10 pages, NBI-HE-93-18

arxiv created 1993/07/30 · openalex publication_date 1993/12/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We develop the method of the hamiltonian reduction of affine Lie superalgebras to obtain explicit and general expressions both for the classical and the quantum extended superconformal algebras. By performing the gauge transformation which connects the diagonal gauge with the Drinfeld-Sokolov gauge and considering the quantum corrections, we get generic expressions for the classical and quantum free field realizations of the algebras.

Citations

• Exceptional Superconformal Algebras
• Fock representations of the affine Lie algebraA 1 (1)

Cited by

• Seven-sphere and the exceptional N = 7 and N = 8 superconformal algebras
• Seven sphere and the exceptional nonlinear superconformal algebras