منابع مشابه
Generalized Drinfeld - Sokolov Hierarchies , Quantum Rings , andW - Gravity
We investigate the algebraic structure of integrable hierarchies that, we propose, underlie models of W-gravity coupled to matter. More precisely, we concentrate on the dispersionless limit of the topological subclass of such theories, by making use of a correspondence between Drinfeld-Sokolov systems, principal sℓ(2) embeddings and certain chiral rings. We find that the integrable hierarchies ...
متن کاملSolutions to WDVV from generalized Drinfeld-Sokolov hierarchies
The dispersionless limit of generalized Drinfeld-Sokolov hierarchies associated to primitive regular conjugacy class of Weyl group W (g) is discussed. The map from these generalized Drinfeld Sokolov hierarchies to algebraic solutions to WDVV equations has been constructed. Example of g = D4 and [w] = D4(a1) is considered in details and corresponding Frobenius structure is found.
متن کاملGeneralized Drinfeld-Sokolov Reductions and KdV Type Hierarchies
Generalized Drinfeld-Sokolov (DS) hierarchies are constructed through local reductions of Hamiltonian flows generated by monodromy invariants on the dual of a loop algebra. Following earlier work of De Groot et al, reductions based upon graded regular elements of arbitrary Heisenberg subalgebras are considered. We show that, in the case of the nontwisted loop algebra l(gln), graded regular elem...
متن کاملIntegrable Sigma-models and Drinfeld-Sokolov Hierarchies
Local commuting charges in sigma-models with classical Lie groups as target manifolds are shown to be related to the conserved quantities appearing in the DrinfeldSokolov (generalized mKdV) hierarchies. Conversely, the Drinfeld-Sokolov construction can be used to deduce the existence of commuting charges in these and in wider classes of sigma-models, including those whose target manifolds are e...
متن کاملN ov 1 99 2 GENERALIZED DRINFELD - SOKOLOV HIERARCHIES AND W - ALGEBRAS *
We review the construction of Drinfeld-Sokolov type hierarchies and classical W-algebras in a Hamiltonian symmetry reduction framework. We describe the list of graded regular elements in the Heisenberg subalgebras of the nontwisted loop algebra ℓ(gl n) and deal with the associated hierarchies. We exhibit an sl 2 embedding for each reduction of a Kac-Moody Poisson bracket algebra to a W-algebra ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1992
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099281