On Yang–Baxter models, twist operators, and boundary conditions

DOI10.1088/1751-8121/aac8ebzbMath1396.81131arXiv1804.05680OpenAlexW3104529515MaRDI QIDQ4685017

Stijn J. van Tongeren

Publication date: 4 October 2018

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1804.05680

zbMATH Keywords

integrabilitystring theorysigma modelsYang-Baxter deformations

Mathematics Subject Classification ID

Model quantum field theories (81T10) Quantum field theory on curved space or space-time backgrounds (81T20) Spinor and twistor methods applied to problems in quantum theory (81R25) Groups and algebras in quantum theory and relations with integrable systems (81R12) Deformations of associative rings (16S80) Twisted and skew group rings, crossed products (16S35) Yang-Baxter equations (16T25)

Related Items (6)

The twisted story of worldsheet scattering in \(\eta\)-deformed \(\mathrm{AdS}_5 \times S^5\) ⋮ Yang-Baxter deformations of the \(\mathrm{AdS}_{5} \times S^5\) pure spinor superstring ⋮ On quantum deformations of \(\mathrm{AdS}_3 \times S^3 \times T^4\) and mirror duality ⋮ Dressing cosets and multi-parametric integrable deformations ⋮ Homogeneous Yang-Baxter deformations as undeformed yet twisted models ⋮ Yang-Baxter deformations of the flat space string

Cites Work

• Yang-Baxter deformations, AdS/CFT, and twist-noncommutative gauge theory
• Supergravity background of \(\lambda\)-deformed model for \(\mathrm{AdS}_{2} \times S^{2}\) supercoset
• Lunin-Maldacena backgrounds from the classical Yang-Baxter equation -- towards the gravity/CYBE correspondence
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• Yang-Baxter sigma models based on the CYBE
• Twisted Bethe equations from a twisted S-matrix
• Abelian Yang-Baxter deformations and \(TsT\) transformations
• Schrödinger sigma models and Jordanian twists
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings
• Generalised fluxes, Yang-Baxter deformations and the O\((d,d)\) structure of non-abelian \(T\)-duality
• Quantum spectral curve for the \(\eta\)-deformed \(\mathrm{AdS}_{5} \times S^{5}\) superstring
• Affine \(q\)-deformed symmetry and the classical Yang-Baxter \(\sigma\)-model
• Almost abelian twists and AdS/CFT
• An integrability primer for the gauge-gravity correspondence: an introduction
• Homogeneous Yang–Baxter deformations as non-abelian duals of theAdS₅σ-model
• On integrability of the Yang–Baxter σ-model
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• Foundations of the AdS₅× S⁵superstring: I
• Integrability in dipole-deformed $\boldsymbol{\mathcal{N}=4}$ super Yang–Mills

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