R-matrix formulation of affine Yangian of \(\widehat{\mathfrak{gl}}(1|1)\)

DOI10.1016/j.nuclphysb.2022.116023OpenAlexW4309645678MaRDI QIDQ2108869

Arkady Zhukov, Dmitry Kolyaskin, Alexey Litvinov

Publication date: 20 December 2022

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2206.01636

Mathematics Subject Classification ID

Quantum theory (81-XX) Relativity and gravitational theory (83-XX)

Related Items (5)

Quiver Yangians and -algebras for generalized conifolds ⋮ Super-Schur polynomials for affine super Yangian \(\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})\) ⋮ More on affine Dynkin quiver Yangians ⋮ BPS states meet generalized cohomology ⋮ Gauge/Bethe correspondence from quiver BPS algebras

Cites Work

• The affine Yangian of \(\mathfrak{gl}_1\) revisited
• Non-Abelian bosonization in two dimensions
• Classical and quantum extended superconformal algebra.
• Non-commutative Donaldson-Thomas invariants and the conifold
• Fock representations of the affine Lie algebra \(A_ 1^{(1)}\)
• \( \mathcal{W} \) -symmetry, topological vertex and affine Yangian
• The supersymmetric affine Yangian
• Higher spins and Yangian symmetries
• Twin-plane-partitions and \( \mathcal{N} =2\) affine Yangian
• Conformal bootstrap in Liouville field theory
• Affine Yangian of \(\mathfrak{gl}(2)\) and integrable structures of superconformal field theory
• Quiver Yangian and supersymmetric quantum mechanics
• Gluing two affine Yangians of \(\mathfrak{g} \mathfrak{l}_1\)
• Instanton R-matrix and \(\mathcal{W}\)-symmetry
• Quiver Yangian from crystal melting
• Liouville reflection operator, affine Yangian and Bethe ansatz
• Exact Integrability of the One-Dimensional Hubbard Model
• Isomorphism between the R-matrix and Drinfeld presentations of quantum affine algebra: Type C
• Quantum groups and quantum cohomology

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