W-Algebras via Lax Type Operators
DOI10.1007/978-3-030-55777-5_17zbMath1471.81043arXiv2001.05751OpenAlexW2999961635MaRDI QIDQ5011791
Publication date: 27 August 2021
Published in: Quantum Theory and Symmetries (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2001.05751
generalized quasideterminantsintegrable Hamiltonian hierarchies(Twisted) Yangians\( W \)-algebrasLax type operators
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) (14D21) Special quantum systems, such as solvable systems (81Q80) Proarrow equipments, Yoneda structures, KZ doctrines (lax idempotent monads) (18D65)
Cites Work
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- Structure of classical (finite and affine) \(\mathcal W\)-algebras
- Classical affine \(\mathcal{W}\)-algebras for \(\mathfrak{gl}_N\) and associated integrable Hamiltonian hierarchies
- Classical \(\mathcal W\)-algebras and generalized Drinfeld-Sokolov bi-Hamiltonian systems within the theory of Poisson vertex algebras
- Cherednik algebras, \(W\)-algebras and the equivariant cohomology of the moduli space of instantons on \(\mathbb A^2\)
- Quantization of the Drinfel'd-Sokolov reduction.
- Quantum reduction and representation theory of superconformal algebras
- Classical \(\mathcal{W}\)-algebras and generalized Drinfeld-Sokolov hierarchies for minimal and short nilpotents
- Whittaker modules associated with highest weight modules
- Shifted Yangians and finite \(W\)-algebras
- Finite vs affine \(W\)-algebras
- Lie algebras and equations of Korteweg-de Vries type
- Simple singularities and simple algebraic groups
- Generalized Drinfel'd-Sokolov hierarchies
- On Whittaker vectors and representation theory
- Quantum reduction for affine superalgebras
- A Lax type operator for quantum finite \(W\)-algebras
- Classical affine \(\mathcal W\)-algebras and the associated integrable Hamiltonian hierarchies for classical Lie algebras
- Spectra of quantum KdV Hamiltonians, Langlands duality, and affine opers
- Finite \(W\)-algebras for \(\mathfrak{gl}_N\)
- Quasideterminants
- Vertex operator algebras, Higgs branches, and modular differential equations
- Generalized Drinfeld-Sokolov reductions and KdV type hierarchies
- Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
- Special transverse slices and their enveloping algebras
- \({\mathcal W}\)-algebras from soliton equations and Heisenberg subalgebras
- Poisson vertex algebras in the theory of Hamiltonian equations
- Liouville correlation functions from four-dimensional gauge theories
- Enveloping algebras of Slodowy slices and the Joseph ideal
- đ˛-Algebra constraints and topological recursion for AN-singularity (with an Appendix by Danilo Lewanski)
- Instanton moduli spaces and $\mathscr W$-algebras
- Quantization of soliton systems and Langlands duality
- Vertex algebras, Kac-Moody algebras, and the Monster
- A simple model of the integrable Hamiltonian equation
- Regular conjugacy classes in the Weyl group and integrable hierarchies
- Modular invariance of characters of vertex operator algebras
- REPRESENTATION THEORY OF W-ALGEBRAS AND HIGGS BRANCH CONJECTURE
- Generators of the quantum finite W-algebras in type A
- On classical finite and affine W-algebras
- Quantum Langlands duality of representations of -algebras
- -constraints for the total descendant potential of a simple singularity
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