Linearizing W2,4 and WB2 algebras

1994/11/30 by S. Bellucci, S. Krivonos, A. Sorin · 15 citations
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebra over a field #Algebraic structures and combinatorial models #Conformal map #Homotopy and Cohomology in Algebraic Topology #Linear map #Nonlinear system #Set (abstract data type) #Spin (aerodynamics) #Superalgebra #hep-th

paper · pdf · doi:10.1016/0370-2693(95)00002-3

published in Physics Letters B 347(3-4), 260-268 (Elsevier BV) · 13 pages, LaTeX

arxiv created 1994/11/30 · openalex publication_date 1995/03/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

It has recently been shown that the W₃ and W₃⁽²⁾ algebras can be considered as subalgebras in some linear conformal algebras. In this paper we show that the nonlinear algebras W_2,4 and WB₂ as well as Zamolodchikov's spin 5/2 superalgebra also can be embedded as subalgebras into some linear conformal algebras with a finite set of currents. These linear algebras give rise to new realizations of the nonlinear algebras which could be suitable in the construction of W-string theories.

Citations

• Critical and non-critical strings
• Infinite conformal symmetry in two-dimensional quantum field theory
• THE MODELS OF TWO-DIMENSIONAL CONFORMAL QUANTUM FIELD THEORY WITH Zn SYMMETRY
• W-symmetry in Conformal Field Theory