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- W2079470295 abstract "We introduce a classical BRST complex (See Definition 3.2.) and show that one can construct a classical affine W-algebra via the complex. This definition clarifies that classical affine W-algebras can be considered as quasi-classical limits of quantum affine W-algebras. We also give a definition of a classical affine fractional W-algebra as a Poisson vertex algebra. As in the classical affine case, a classical affine fractional W-algebra has two compatible λ-brackets and is isomorphic to an algebra of differential polynomials as a differential algebra. When a classical affine fractional W-algebra is associated to a minimal nilpotent, we describe explicit forms of free generators and compute λ-brackets between them. Provided some assumptions on a classical affine fractional W-algebra, we find an infinite sequence of integrable systems related to the algebra, using the generalized Drinfel’d and Sokolov reduction." @default.
- W2079470295 created "2016-06-24" @default.
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- W2079470295 date "2015-01-01" @default.
- W2079470295 modified "2023-09-24" @default.
- W2079470295 title "Structure of classical affine and classical affine fractional W-algebras" @default.
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- W2079470295 doi "https://doi.org/10.1063/1.4906144" @default.
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