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Integrable Sigma Models at RG Fixed Points: Quantisation as Affine Gaudin Models
The goal of this paper is to make first steps towards the quantisation of integrable nonlinear sigma models using the formalism of affine Gaudin...
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Lagrangian multiforms on coadjoint orbits for finite-dimensional integrable systems
Lagrangian multiforms provide a variational framework to describe integrable hierarchies. The case of Lagrangian 1-forms covers finite-dimensional...
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How One can Repair Non-integrable Kahan Discretizations. II. A Planar System with Invariant Curves of Degree 6
We find a novel one-parameter family of integrable quadratic Cremona maps of the plane preserving a pencil of curves of degree 6 and of genus 1. They...
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Two-dimensional massive integrable models on a torus
The finite-volume thermodynamics of a massive integrable QFT is described in terms of a grand canonical ensemble of loops immersed in a torus and...
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Poisson Reductions of Master Integrable Systems on Doubles of Compact Lie Groups
We consider three ‘classical doubles’ of any semisimple, connected and simply connected compact Lie group G : the cotangent bundle, the Heisenberg...
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On β-function of N = 2 supersymmetric integrable sigma-models
We study the regularization scheme dependence of Kähler ( N = 2) supersymmetric sigma models. At the one-loop order the metric β function is the same...
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Integrable domain walls in ABJM theory
One-point functions of local operators are studied, at weak and strong coupling, for the ABJM theory in the presence of a 1/2 BPS domain wall. In the...
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Soliton solutions in (2 + 1)-dimensional integrable spin systems: an investigation of the Myrzakulov–Lakshmanan equation-II
The Myrzakulov–Lakshmanan Equation-II (MLE-II) that refers to the (2 + 1)-dimensional integrable spin system has five various formalisms. In Our...
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Obstructions to Integrability of Nearly Integrable Dynamical Systems Near Regular Level Sets
We study the existence of real-analytic first integrals and real-analytic integrability for perturbations of integrable systems in the sense of...
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A study of integrable form factors in massless relativistic AdS2
In this paper we initiate the study of form factors for the massless scattering of integrable AdS 2 superstrings, where the difference-form of the S -ma...
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Twistor Actions for Integrable Systems
Many integrable systems can be reformulated as holomorphic vector bundles on twistor space. This is a powerful organizing principle in the theory of...
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Integrable Isotropic Profiles for Polarized Light
AbstractWe consider the propagation of polarized light in the medium with isotropic refraction index profile and show that polarization violates the...
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Bosonic η-deformations of non-integrable backgrounds
We consider the non-integrable bosonic backgrounds W 2 , 4 × T 1,1 and AdS 5 × T 1,1 and derive their bosonic η -deformed versions using an r -matrix that...
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Bi-infinite Solutions for KdV- and Toda-Type Discrete Integrable Systems Based on Path Encodings
We define bi-infinite versions of four well-studied discrete integrable models, namely the ultra-discrete KdV equation, the discrete KdV equation,...
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Commutative families in W∞, integrable many-body systems and hypergeometric τ-functions
We explain that the set of new integrable systems, generalizing the Calogero family and implied by the study of WLZZ models, which was described in
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Integrable scattering theory with higher derivative Hamiltonians
We discuss how a standard scattering theory a of multi-particle theory generalises to systems based on Hamiltonians that involve higher-order...
