The Hopf superalgebra of AdS/CFT

DOI10.1016/j.geomphys.2010.10.003zbMath1266.81102OpenAlexW1988957532MaRDI QIDQ617957

Alessandro Torrielli

Publication date: 14 January 2011

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2010.10.003

zbMATH Keywords

integrable systemsAdS/CFT correspondenceinfinite-dimensional Hopf superalgebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) (S)-matrix theory, etc. in quantum theory (81U20) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hopf algebras and their applications (16T05)

Related Items (2)

The complete \({\mathrm{AdS}}_3\times \mathrm{S}^3\times \mathrm{T}^4\) worldsheet S matrix ⋮ \(q\)-Poincaré supersymmetry in \(\text{AdS}_5/\text{CFT}_4\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Review of AdS/CFT integrability. Chapter VI.2: Yangian algebra
• Review of AdS/CFT integrability, chapter IV.2: Deformations, orbifolds and open boundaries
• Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
• On the classical Young-Baxter equation for simple Lie algebras
• The S-matrix of string bound states
• The bound state S-matrix for \(AdS_{5}\times S^{5}\) superstring
• The large \(N\) limit of superconformal field theories and supergravity
• Constructing \(R\)-matrices on simple Lie superalgebras
• Yangian double
• Super-Yangian double and its central extension.
• On Drinfeld's second realization of the AdS/CFT \(\mathfrak{su}(2|2)\) Yangian
• The Bethe ansatz approach for factorizable centrally extended \(\text{su}(2|2)\) \(S\)-matrices
• Gauss decomposition of the Yangian \(Y({\mathfrak{gl}}_{m|n})\)
• The classical \(r\)-matrix of AdS/CFT and its Lie bialgebra structure
• A unified and complete construction of all finite dimensional irreducible representations of gl(2∣2)
• Solutions of the graded classical Yang-Baxter equation and integrable models
• Note on centrally extended su(2/2) and Serre relations
• Finite-dimensional representations of the Lie superalgebra gl(2/2) in a gl(2)⊕gl(2) basis. II. Nontypical representations
• Quantum deformations of the one-dimensional Hubbard model
• Drinfeld second realization of the quantum affine superalgebras of $D^{(1)}(2,1;x)$ via the Weyl groupoid
• Foundations of the AdS₅× S⁵superstring: I
• AUTOMORPHISMS OF SIMPLE LIE SUPERALGEBRAS
• INTRODUCTION TO YANGIAN SYMMETRY IN INTEGRABLE FIELD THEORY
• Central extensions of Lie superalgebras
• Solutions of the classical Yang-Baxter equation for simple Lie algebras

This page was built for publication: The Hopf superalgebra of AdS/CFT