1995/10/11 by S. Krivonos, Krivonos, S., A. Sorin +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9510072
23 pages, LaTeX, report-no added, some misprints corrected
arxiv created 1995/10/15 · arxiv updated 2009/11/30
We review the new approach to the theory of nonlinear W-algebras which is developed recently and called \it conformal linearization. In this approach W-algebras are embedded as subalgebras into some \it linear conformal algebras with a finite set of currents and most of their properties could be understood in a much simpler way by studing their linear counterpart. The general construction is illustrated by the examples of u(N)-superconformal, W(sl(N),sl(2)), W(sl(N),sl(N)) as well as W(sl(N),sl(3)) algebras. Applications to the construction of realizations (included modulo null fields realizations) as well as central charge spectrum for minimal models of nonlinear algebras are discussed. (To appear in ``Geometry and Integrable Models'', Eds.: P.N.Pyatov & S.N.Solodukhin, World Scientific Publ. Co. (in press)).