Giant magnons of string theory in the lambda background

DOI10.1007/JHEP07(2017)098zbMath1380.81284arXiv1704.05437OpenAlexW3100529578MaRDI QIDQ1696300

David M. Schmidtt, Dafydd Price, Calan Appadu, Timothy J. Hollowood, J. Luis Miramontes

Publication date: 14 February 2018

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

Full work available at URL: https://arxiv.org/abs/1704.05437

zbMATH Keywords

AdS-CFT correspondencequantum groupssigma modelsintegrable field theories

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories in gravitational theory (83E30) Groups and algebras in quantum theory and relations with integrable systems (81R12) (S)-matrix theory, etc. in quantum theory (81U20)

Related Items

Lambda models from Chern-Simons theories ⋮ Exploring the lambda model of the hybrid superstring ⋮ Spinning strings: \(\lambda\)-deformation and non-abelian T-dual limit ⋮ Giant magnons of string theory in the lambda background ⋮ \(q\)-Poincaré supersymmetry in \(\text{AdS}_5/\text{CFT}_4\) ⋮ Poisson-Lie duals of the \(\eta\) deformed symmetric space sigma model ⋮ Integrable lambda models and Chern-Simons theories ⋮ Poisson-Lie duals of the \(\eta\)-deformed \(\mathrm{AdS}_{2} \times S^2 \times T^6\) superstring ⋮ \(\lambda\)-deformation of the \(\mathrm{AdS}_{5} \times S^5\) pure spinor superstring ⋮ Classical spectral curve of the \( \mathrm{AdS}_5 \times S^5\) lambda superstring ⋮ Holomorphic Chern-Simons theory and lambda models: PCM case ⋮ Quantum anisotropic sigma and lambda models as spin chains

Cites Work

• Supergravity background of \(\lambda\)-deformed model for \(\mathrm{AdS}_{2} \times S^{2}\) supercoset
• Integrable deformations of strings on symmetric spaces
• The quantum deformed mirror TBA II
• Supergravity background of the \(\lambda\)-deformed \(\mathrm{AdS}_{3} \times S^{3}\) supercoset
• Generalized \(\lambda\)-deformations of \( \mathrm{dS}_{p} \times S^{p}\)
• Review of AdS/CFT integrability, chapter I.1: Spin chains in \({\mathcal{N}=4}\) super Yang-Mills
• Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
• Review of AdS/CFT integrability, chapter III.3: The dressing factor
• Pohlmeyer reduction revisited
• Dressing the giant gluon
• The AdS\({}_{5}\) {\(\times\)} S\({}^{5}\) semi-symmetric space sine-Gordon theory
• The semi-classical spectrum of solitons and giant magnons
• Supersymmetry flows, semi-symmetric space sine-Gordon models and the Pohlmeyer reduction
• High spin limits and non-Abelian T-duality
• Integrable lambda models and Chern-Simons theories
• Classical and quantum solitons in the symmetric space sine-Gordon theories
• The structure of non-abelian kinks
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Bäcklund transformations for nonlinear sigma models with values in Riemannian symmetric spaces
• Deformations of \(\mathcal N=4\) sym and integrable spin chain models
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• The \(\mathfrak{su}(2|2)\) dynamic S-matrix
• Pohlmeyer reduction of \(\text{AdS}_5\times S^5\) superstring sigma model
• The \(N=4\) SYM integrable super spin chain
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• Integrable theories that are asymptotically CFT.
• Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings
• Exploring the lambda model of the hybrid superstring
• Giant magnons of string theory in the lambda background
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Symplectic deformations of integrable field theories and AdS/CFT
• A relativistic relative of the magnon S-matrix
• \(q\)-deformation of the \(\operatorname{AdS}_{5} \times \operatorname{S}^{5}\) superstring S-matrix and its relativistic limit
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Constructing the AdS/CFT dressing factor
• Integrable \(\lambda\)-deformations: squashing coset CFTs and \(\mathrm{ AdS}_5\times S^5\)
• Beta function of \(k\) deformed \(\mathrm{AdS}_{5}\times S^{5}\) string theory
• A GEOMETRICAL APPROACH TO TIME-DEPENDENT GAUGE-FIXING
• Integrability of the ${\rm Ad}{{{\rm S}}_{5}}\times {{{\rm S}}^{5}}$ superstring and its deformations
• An integrable deformation of the AdS₅×S⁵superstring
• Singularities of the magnon<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>S</mml:mi></mml:math>matrix
• S-matrices and quantum group symmetry ofk-deformed sigma models
• Magnon bound states and the AdS/CFT correspondence
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• Quantum deformations of the one-dimensional Hubbard model
• Foundations of the AdS₅× S⁵superstring: I
• Minimal solution of the AdS/CFT crossing equation
• The dressing factor and crossing equations
• Introduction to Classical Integrable Systems
• Quantum inverse scattering and the lambda deformed principal chiral model
• Giant magnons
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation