DOI10.1093/imrn/rny128zbMath1484.81057arXiv1701.04856OpenAlexW2962930667MaRDI QIDQ5015577
Benoît Vicedo
Publication date: 9 December 2021
Published in: International Mathematics Research Notices (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1701.04856
(Co)homology of rings and associative algebras (e.g., Hochschild, cyclic, dihedral, etc.) (16E40)
Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67)
Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10)
Applications of Lie (super)algebras to physics, etc. (17B81)
Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10)
Groups and algebras in quantum theory and relations with integrable systems (81R12)
Eta-invariants, Chern-Simons invariants (58J28)
Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine sl2 Gaudin model,
Four-dimensional Chern–Simons theory and integrable field theories,
Integrable deformations of sigma models,
On strong integrability of the dressing cosets,
Geometric aspects of the ODE/IM correspondence,
Constrained affine Gaudin models and diagonal Yang–Baxter deformations,
3-dimensional mixed BF theory and Hitchin's integrable system,
Ultralocal Lax connection for para-complex \(\mathbb{Z}_T\)-cosets,
Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory,
The magic renormalisability of affine Gaudin models,
Towards a quadratic Poisson algebra for the subtracted classical monodromy of symmetric space sine-Gordon theories,
Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems,
On a class of conformal \(\mathcal{E}\)-models and their chiral Poisson algebras,
Universal 1-loop divergences for integrable sigma models,
Higher current algebras, homotopy Manin triples, and a rectilinear adelic complex,
A generalized 4d Chern-Simons theory,
Classical Yang-Baxter equation, Lagrangian multiforms and ultralocal integrable hierarchies,
Integrable sigma models at RG fixed points: quantisation as affine Gaudin models,
Local charges in involution and hierarchies in integrable sigma-models,
Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable \(\sigma\)-model,
Exceptional solutions to the eight-vertex model and integrability of anisotropic extensions of massive fermionic models,
Resurgence in the bi-Yang-Baxter model,
Three-parameter integrable deformation of \(\mathbb Z_4\) permutation supercosets,
Webs of integrable theories,
Hamiltonian integrability of the webs of integrable theories,
Integrable deformed \(T^{1,1}\) sigma models from 4D Chern-Simons theory,
ODE/IQFT correspondence for the generalized affine \(\mathfrak{sl} (2)\) Gaudin model,
\(\lambda\)-deformed \(AdS_5 \times S^5\) superstring from 4D Chern-Simons theory,
Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects,
Integrable lambda models and Chern-Simons theories,
RG flows of integrable \(\sigma \)-models and the twist function,
New integrable coset sigma models,
On the Zakharov-Mikhailov action: 4d Chern-Simons origin and covariant Poisson algebra of the Lax connection,
Quantum inverse scattering and the lambda deformed principal chiral model,
Assembling integrable \({\sigma}\)-models as affine Gaudin models,
Dressing cosets and multi-parametric integrable deformations,
Symmetric space \(\lambda\)-model exchange algebra from 4d holomorphic Chern-Simons theory,
Massive ODE/IM correspondence and nonlinear integral equations for ${A_r^{(1)}}$ -type modified affine Toda field equations,
Quantum anisotropic sigma and lambda models as spin chains,
Kondo line defects and affine Gaudin models,
Non-abelian Toda field theories from a 4D Chern-Simons theory,
Yang–Baxter deformations of the principal chiral model plus Wess–Zumino term,
Homotopical analysis of 4d Chern-Simons theory and integrable field theories,
Affine opers and conformal affine Toda
