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Unfolded form of conformal equations in M dimensions and o(M+2)modules  O.V. Shaynkman
; I.Yu. Tipunin
; M.A. Vasiliev
;  Date: 
13 Dec 2003  Subject:  High Energy Physics  Theory; Mathematical Physics  hepth mathph math.MP  Abstract:  A constructive procedure is proposed for formulation of linear differential equations invariant under global symmetry transformations forming a semisimple Lie algebra f. Under certain conditions finvariant systems of differential equations are shown to be associated with fmodules that are integrable with respect to some parabolic subalgebra of f. The suggested construction is motivated by the unfolded formulation of dynamical equations developed in the higher spin gauge theory and provides a starting point for generalization to the nonlinear case. It is applied to the conformal algebra o(M,2) to classify all linear conformally invariant differential equations in Minkowski space. Numerous examples of conformal equations are discussed from this perspective.  Source:  arXiv, hepth/0401086  Services:  Forum  Review  PDF  Favorites 


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