On a class of representations of the Yangian and moduli space of monopoles

DOI10.1007/s00220-005-1417-3zbMath1142.53069arXivmath/0409031OpenAlexW1965014570MaRDI QIDQ2494001

Yanyan Li

Publication date: 16 June 2006

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0409031

zbMATH Keywords

moduli space of monopolesrepresentation of Yangian

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Symplectic structures of moduli spaces (53D30)

Related Items (22)

Correlators on the wall and sln spin chain ⋮ Lax matrices from antidominantly shifted Yangians and quantum affine algebras: A-type ⋮ Rational Lax matrices from antidominantly shifted extended Yangians: BCD types ⋮ The Coulomb branch of 3d \({\mathcal{N}= 4}\) theories ⋮ Quantum geometry and quiver gauge theories ⋮ Rational Cherednik algebras of \(G (\ell, p, n)\) from the Coulomb perspective ⋮ BFN Springer theory ⋮ Seiberg-Witten geometry of four-dimensional \(\mathcal{N}=2\) quiver gauge theories ⋮ Coulomb branches of quiver gauge theories with symmetrizers ⋮ Quantization of Drinfeld Zastava in type \(A\) ⋮ Quantized Coulomb branches of Jordan quiver gauge theories and cyclotomic rational Cherednik algebras ⋮ Multiplicative Slices, Relativistic Toda and Shifted Quantum Affine Algebras ⋮ Higgs bundles, gauge theories and quantum groups ⋮ Gelfand-Zeitlin actions and rational maps ⋮ Bethe subalgebras in Yangians and the wonderful compactification ⋮ A quantum Mirković-Vybornov isomorphism ⋮ Shifted quantum affine algebras: integral forms in type \(A\) ⋮ Multiplicative Hitchin systems and supersymmetric gauge theory ⋮ Algebras, traces, and boundary correlators in \(\mathcal{N} = 4\) SYM ⋮ Highest weights for truncated shifted Yangians and product monomial crystals ⋮ Poles of finite-dimensional representations of Yangians ⋮ Hamiltonian reduction for affine Grassmannian slices and truncated shifted Yangians

Cites Work

• A note on a symplectic structure on the space of \(G\)-monopoles
• Asymptotic metrics for \(SU(N)\)-monopoles with maximal symmetry breaking
• Isomorphism of two realizations of quantum affine algebra \(U_ q(\widehat{\mathfrak{gl}}(n))\)
• Yangians and Gelfand-Zetlin bases
• The Atiyah-Hitchin bracket and the open Toda lattice.
• The classification of monopoles for the classical groups
• On the construction of monopoles for the classical groups
• Yangian double
• ON A CLASS OF INTEGRABLE SYSTEMS CONNECTED WITH GL(N,ℝ)
• Yangians and classical Lie algebras
• Bosonic representations of Yangian double with
• Semiinfinite Flags. I. Case of global curve $P^1$
• Dressing transformations and Poisson group actions
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