TY - RPRT
T1 - Structure of classical (finite and affine) W-algebras
Y1 - 2014
A1 - Alberto De Sole
A1 - Victor G. Kac
A1 - Daniele Valeri
AB - First, we derive an explicit formula for the Poisson bracket of the classical finite W-algebra W^{fin}(g,f), the algebra of polynomial functions on the Slodowy slice associated to a simple Lie algebra g and its nilpotent element f. On the other hand, we produce an explicit set of generators and we derive an explicit formula for the Poisson vertex algebra structure of the classical affine W-algebra W(g,f). As an immediate consequence, we obtain a Poisson algebra isomorphism between W^{fin}(g,f) and the Zhu algebra of W(g,f). We also study the generalized Miura map for classical W-algebras.
PB - SISSA
UR - http://hdl.handle.net/1963/7314
N1 - 40 pages
U1 - 7359
U2 - Mathematics
U4 - 1
U5 - MAT/07 FISICA MATEMATICA
ER -