Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction

DOI10.1007/JHEP03(2011)021zbMath1301.81265arXiv1012.4713OpenAlexW2001062385MaRDI QIDQ476025

David M. Schmidtt

Publication date: 27 November 2014

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.4713

zbMATH Keywords

integrable hierarchiessigma modelsintegrable field theoriesextended supersymmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on curved space or space-time backgrounds (81T20) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Applications of Lie groups to the sciences; explicit representations (22E70) NLS equations (nonlinear Schrödinger equations) (35Q55) Superalgebras (17A70) Symplectic structures of moduli spaces (53D30) Riemann-Hilbert problems in context of PDEs (35Q15) Functional analysis on superspaces (supermanifolds) or graded spaces (46S60)

Related Items (13)

Lambda models from Chern-Simons theories ⋮ Exploring the lambda model of the hybrid superstring ⋮ Giant magnons of string theory in the lambda background ⋮ The AdS\({}_{5}\) {\(\times\)} S\({}^{5}\) semi-symmetric space sine-Gordon theory ⋮ The semi-classical spectrum of solitons and giant magnons ⋮ Towards the quantum S-matrix of the Pohlmeyer reduced version of \(AdS_5 \times S^5\) superstring theory ⋮ Worldsheet supersymmetry of Pohlmeyer-reduced \(\mathrm{AdS}_{n} {\times} S^{n}\) superstrings ⋮ Integrability vs supersymmetry: Poisson structures of the Pohlmeyer reduction ⋮ A relativistic relative of the magnon S-matrix ⋮ Alleviating the non-ultralocality of coset {\(\sigma\)}-models through a generalized Faddeev-Reshetikhin procedure ⋮ Alleviating the non-ultralocality of the \(\mathrm{AdS}_5\times S^5\) superstring ⋮ Two-dimensional S-matrices from unitarity cuts ⋮ \(q\)-deformation of the \(\operatorname{AdS}_{5} \times \operatorname{S}^{5}\) superstring S-matrix and its relativistic limit

Cites Work

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• The AdS\({}_{5}\) {\(\times\)} S\({}^{5}\) semi-symmetric space sine-Gordon theory
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• Pohlmeyer reduction of \(\text{AdS}_5\times S^5\) superstring sigma model
• Dressing symmetries
• Supersymmetry and the KdV equations for integrable hierarchies with a half-integer gradation
• Lagrangian formulation of symmetric space sine-Gordon models.
• Generalized Drinfel'd-Sokolov hierarchies. II: The Hamiltonian structures
• Strings on semisymmetric superspaces
• S-matrices and quantum group symmetry ofk-deformed sigma models
• The complex sine-Gordon equation as a symmetry flow of the AKNS hierarchy
• Supersymmetric Drinfeld–Sokolov reduction

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