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Brief lectures on duality, integrability and deformations (Q3385461)

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Language	Label	Description	Also known as
English	Brief lectures on duality, integrability and deformations	scientific article

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scholarly article

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Brief lectures on duality, integrability and deformations (English)

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zbMATH Open document ID

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10.1142/S0129055X21300041

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Reviews in Mathematical Physics

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publication date

18 December 2021

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full work available at URL

https://arxiv.org/abs/2101.05230

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

integrable systems

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nonlinear sigma models

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T-duality

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Ruijsenaars duality

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Ctirad Klimčík

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MaRDI profile type

MaRDI publication profile

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Complex structure-induced deformations of \(\sigma\)-models

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Integrable deformations of coupled \(\sigma\)-models

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Introduction to Classical Integrable Systems

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Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings

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Duality symmetries from nonabelian isometries in string theory

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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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On classical \(q\)-deformations of integrable \(\sigma\)-models

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Integrable double deformation of the principal chiral model

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Classical and quantum aspects of Yang-Baxter Wess-Zumino models

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Integrable deformation of \(\mathbb{CP}^n\) and generalised Kähler geometry

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The sigma model (dual) representation for a two-parameter family of integrable quantum field theories

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On the duality between the hyperbolic Sutherland and the rational Ruijsenaars–Schneider models

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Double and cyclic \(\lambda\)-deformations and their canonical equivalents

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Hamiltonian group actions and dynamical systems of calogero type

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On integrability of the Yang–Baxter σ-model

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Integrability of the bi-Yang-Baxter \(\sigma\)-model

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\(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models

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Yang-Baxter \(\sigma\)-model with WZNW term as \(\mathcal{E}\)-model

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Dressing cosets and multi-parametric integrable deformations

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Strong integrability of the bi-YB-WZ model

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T-duality and T-folds for point particles

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Poisson-Lie \(T\)-duality

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Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.

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Dressing cosets

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Cyclotomic Gaudin models, Miura opers and flag varieties

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Integrals of nonlinear equations of evolution and solitary waves

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Poisson Lie groups, dressing transformations, and Bruhat decompositions

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The integrable harmonic map problem versus Ricci flow

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Classical integrability of two-dimensional nonlinear sigma models

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On the geometry of classically integrable two-dimensional non-linear sigma models

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On mirror symmetry in Wess-Zumino-Novikov-Witten models

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Completely integrable Hamiltonian systems connected with semisimple Lie algebras

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Abelian Yang-Baxter deformations and \(TsT\) transformations

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Action-angle maps and scattering theory for some finite-dimensional integrable systems. I: The pure soliton case

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A new class of integrable systems and its relation to solitons

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On integrability of 2-dimensional \(\sigma\)-models of Poisson-Lie type

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Integrable interpolations: From exact CFTs to non-abelian T-duals

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String theory and black holes

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Mathematics(1 entry)

mardi Publication:3385461

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