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Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra (Q430060)

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English	Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra	scientific article

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scholarly article

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Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra (English)

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zbMATH Open document ID

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10.1007/s11005-011-0491-z

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Alessandro Torrielli

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Letters in Mathematical Physics

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publication date

20 June 2012

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full work available at URL

https://arxiv.org/abs/1012.4005

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http://epubs.surrey.ac.uk/37214/2/1012.4005.pdf

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Mathematics Subject Classification ID

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zbMATH DE Number

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zbMATH Keywords

ADS/CFT

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supersymmetry

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integrability

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exact \(S\)-matrix

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Hopf algebras

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quantum groups

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Yangians

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MaRDI profile type

MaRDI publication profile

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The Yangians, Bethe Ansatz and combinatorics

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The Bethe ansatz for \(AdS_{5} \times S^{5}\) bound states

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The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring

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The classical \(r\)-matrix of AdS/CFT and its Lie bialgebra structure

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INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY

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Hamiltonian methods in the theory of solitons. Transl. from the Russian by A. G. Reyman

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Supersymmetry and the nonlocal Yangian deformation symmetry.

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Super-Yangian double and its central extension.

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Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\)

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The Yangian of \( \mathfrak{s}\mathfrak{l}\left( {n\left| m \right.} \right) \) and its quantum R-matrices

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AN INTRODUCTION TO YANGIAN SYMMETRIES

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Spin models and superconformal Yang--Mills theory

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YANGIAN SYMMETRIES OF MATRIX MODELS AND SPIN CHAINS: THE DILATATION OPERATOR OF ${\mathcal N} = 4$ SYM

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Yangian symmetry at two loops for the sector of SYM

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Review of AdS/CFT integrability, chapter I.3: Long-range spin chains

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The dilatation operator of conformal \(N=4\) super-Yang-Mills theory

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THE DILATATION OPERATOR OF $\mathcal{N}=4$ SYM AND CLASSICAL LIMITS OF SPIN CHAINS AND MATRIX MODELS

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Review of AdS/CFT integrability, chapter II.3: Sigma model, gauge fixing

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Review of AdS/CFT integrability, chapter II.4: The spectral curve

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Aspects of semiclassical strings in AdS\(_5\)

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Classical integrability and super Yangian of superstring on \(\mathrm{AdS}_5\times S^5\)

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Hamiltonian dynamics and the hidden symmetries of the \(AdS_{5} \times S^{5}\) superstring

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The quantum double in integrable quantum field theory

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The \(\mathfrak{su}(2|2)\) dynamic S-matrix

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The off-shell symmetry algebra of the light-cone AdS<sub>5</sub>×<i>S</i><sup>5</sup>superstring

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Quantum deformations of the one-dimensional Hubbard model

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The classical trigonometric<i>r</i>-matrix for the quantum-deformed Hubbard chain

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YANGIANS IN INTEGRABLE FIELD THEORIES, SPIN CHAINS AND GAUGE-STRING DUALITIES

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AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS

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An exceptional algebraic origin of the AdS/CFT Yangian symmetry

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Solutions of the classical Yang-Baxter equation for simple Lie algebras

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Solutions of the classical Yang-Baxter equation for simple superalgebras

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Constructing \(R\)-matrices on simple Lie superalgebras

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On \(\mathrm{AdS}_5\times S^5\) string \(S\)-matrix

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Universal \(R\)-matrix for quantized (super)algebras

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The classical \(R\)-matrix of AdS/CFT and its Lie dialgebra structure

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On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian

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Structure of the string<i>R</i>-matrix

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Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid

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Review of AdS/CFT integrability, chapter III.6: Thermodynamic Bethe ansatz

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The S-matrix of string bound states

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On Yangian and long representations of the centrally extended \( \mathfrak{s}\mathfrak{u}\left( {\left. 2 \right|2} \right) \) superalgebra

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