Deformations of \(\mathcal{W}\) algebras via quantum toroidal algebras
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Publication:2037134
DOI10.1007/s00029-021-00663-0zbMath1481.17022arXiv2003.04234OpenAlexW3173720157MaRDI QIDQ2037134
Ilya Vilkoviskiy, Boris L. Feigin, Michio Jimbo, Evgenii E. Mukhin
Publication date: 30 June 2021
Published in: Selecta Mathematica. New Series (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2003.04234
Quantum groups (quantized enveloping algebras) and related deformations (17B37) Vertex operators; vertex operator algebras and related structures (17B69)
Related Items
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Cites Work
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- Integrable structure of quantum field theory: classical flat connections versus quantum stationary states
- Quantum affine algebras and holonomic difference equations
- Integrable structure of conformal field theory. II: \(Q\)-operator and DDV equation
- Integrable structure of conformal field theory. III: The Yang-Baxter relation
- Fractional quiver W-algebras
- BPS/CFT correspondence: non-perturbative Dyson-Schwinger equations and \(qq\)-characters
- Symmetric pairs for quantized enveloping algebras
- Higher-level eigenvalues of \(Q\)-operators and Schrödinger equation
- Integrable structure of conformal field theory, quantum KdV theory and thermodynamic Bethe ansatz
- Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials
- Universal two-parameter even spin \(\mathcal{W}_\infty\)-algebra
- Finite type modules and Bethe ansatz for quantum toroidal \(\mathfrak{gl}_1\)
- Plane partitions with a ``pit: generating functions and representation theory
- Bethe ansatz and the spectral theory of affine Lie algebra-valued connections. I: The simply-laced case
- Twisted yangians and infinite-dimensional classical Lie algebras
- Integrals of motion from quantum toroidal algebras
- Anharmonic oscillators, the thermodynamic Bethe ansatz and nonlinear integral equations
- Quantum toroidal $\mathfrak{g}{{\mathfrak{l}}_{1}}$ and Bethe ansatz
- Quantum groups and quantum cohomology
- Angular quantization and form factors in massive integrable models
- Combinatorics of \(q\)-characters of finite-dimensional representations of quantum affine algebras.
- Spectral determinants for Schrödinger equation and \({\mathbb{Q}}\)-operators of conformal field theory