An elliptic integrable deformation of the principal chiral model (Q6568037)

scientific article; zbMATH DE number 7877307

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English	An elliptic integrable deformation of the principal chiral model	scientific article; zbMATH DE number 7877307

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instance of

scholarly article

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title

An elliptic integrable deformation of the principal chiral model (English)

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Journal of High Energy Physics

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publication date

5 July 2024

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zbMATH Keywords

integrable field theories

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sigma models

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Chern-Simons theories

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field theories in lower dimensions

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MaRDI profile type

Publication

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cites work

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The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable

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The integrable harmonic map problem versus Ricci flow

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Combining the bi-Yang-Baxter deformation, the Wess-Zumino term and TsT transformations in one integrable \(\sigma\)-model

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Discrete groups and the integrability of quantum systems

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Quantization of soliton systems and Langlands duality

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On Integrable Field Theories as Dihedral Affine Gaudin Models

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Assembling integrable \({\sigma}\)-models as affine Gaudin models

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Gauge theory and integrability. I

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Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I: Remnants of duality at the classical level

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On the classical equivalence of monodromy matrices in squashed sigma model

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Q3715293

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A q-difference analogue of \(U({\mathfrak g})\) and the Yang-Baxter equation

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Four-dimensional Chern–Simons theory and integrable field theories

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A unifying 2D action for integrable \(\sigma \)-models from 4D Chern-Simons theory

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Homotopical analysis of 4d Chern-Simons theory and integrable field theories

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The Hamiltonian formalism and a many-valued analogue of Morse theory

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Non-Abelian bosonization in two dimensions

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1+1 Gaudin model

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Integrable \(\mathcal{E}\)-models, 4d Chern-Simons theory and affine Gaudin models. I: Lagrangian aspects

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Flat currents, \(\mathbb Z_m\) gradings and coset space actions

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Affine \(q\)-deformed symmetry and the classical Yang-Baxter \(\sigma\)-model

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RG flows of integrable \(\sigma \)-models and the twist function

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RG flow of integrable \(\mathcal{E}\)-models

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The magic renormalisability of affine Gaudin models

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Quantum inverse problem method. I

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Quadratic algebras and integrable systems

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Dimensionally reduced gravity, Hermitian symmetric spaces and the Ashtekar variables

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Quantum transfer-matrices for the sausage model

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On the Yang-Baxter Poisson algebra in non-ultralocal integrable systems

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Integrable sigma models at RG fixed points: quantisation as affine Gaudin models

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Local conserved charges in principal chiral models

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Local charges in involution and hierarchies in integrable sigma-models

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Cubic hypergeometric integrals of motion in affine Gaudin models

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Identifiers

DOI

10.1007/jhep05(2024)006

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Mathematics Subject Classification ID

81-XX

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zbMATH DE Number

7877307

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Sitelinks

Mathematics(1 entry)

mardi Publication:6568037