Geometry of the spectral parameter and renormalisation of integrable sigma-models

Cites Work

Integrable structure of quantum field theory: classical flat connections versus quantum stationary states
Flat currents, \(\mathbb Z_m\) gradings and coset space actions
Renormalization of Lorentz non-invariant actions and manifest T-duality
On classical \(q\)-deformations of integrable \(\sigma\)-models
ODE/IM correspondence for the Fateev model
Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
4D Chern-Simons theory and affine Gaudin models
Discrete groups and the integrability of quantum systems
Hitchin systems -- symplectic Hecke correspondence and two-dimensional version
Duality-invariant class of two-dimensional field theories
Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
On the Hamiltonian integrability of the bi-Yang-Baxter \(\sigma\)-model
Integrability, duality and sigma models
Gauge theory and integrability. I
Gauge theory and integrability. II
Theta functions on Riemann surfaces
The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
The integrable harmonic map problem versus Ricci flow
Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
Courant algebroids, Poisson-Lie T-duality, and Type II supergravities
RG flows of integrable \(\sigma \)-models and the twist function
New integrable coset sigma models
Cubic hypergeometric integrals of motion in affine Gaudin models
On loop corrections to integrable \(2D\) sigma model backgrounds
Kondo line defects and affine Gaudin models
Homotopical analysis of 4d Chern-Simons theory and integrable field theories
An exact symmetry in \(\lambda\)-deformed CFTs
Integrable 2d sigma models: quantum corrections to geometry from RG flow
A unifying 2D action for integrable \(\sigma \)-models from 4D Chern-Simons theory
RG flow of integrable \(\mathcal{E}\)-models
Twistor actions for integrable systems
ODE/IQFT correspondence for the generalized affine \(\mathfrak{sl} (2)\) Gaudin model
Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects
Assembling integrable \({\sigma}\)-models as affine Gaudin models
Affine Gaudin models and hypergeometric functions on affine opers
The classical \(R\)-matrix of AdS/CFT and its Lie dialgebra structure
From Fuchsian differential equations to integrable QFT
Quantum anisotropic sigma and lambda models as spin chains
On Integrable Field Theories as Dihedral Affine Gaudin Models
Horocycle Dynamics: New Invariants and Eigenform Loci in the Stratum ℋ(1,1)
Four-dimensional Chern–Simons theory and integrable field theories
Integrable deformations of sigma models
Quartic Hamiltonians, and higher Hamiltonians at next-to-leading order, for the affine sl2 Gaudin model
Exact results for integrable asymptotically-free field theories
Dressing cosets
Solutions of the classical Yang-Baxter equation for simple Lie algebras
Twistors, the ASD Yang-Mills equations and 4d Chern-Simons theory
Integrable degenerate \(\mathcal{E}\)-models from 4d Chern-Simons theory
The magic renormalisability of affine Gaudin models
Universal 1-loop divergences for integrable sigma models
Integrable sigma models at RG fixed points: quantisation as affine Gaudin models