Integrable flows between exact CFTs

DOI10.1007/JHEP11(2017)078zbMath1383.81215arXiv1707.05149MaRDI QIDQ1706890

Konstantinos Sfetsos, George Georgiou

Publication date: 28 March 2018

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

Full work available at URL: https://arxiv.org/abs/1707.05149

zbMATH Keywords

conformal field theorysigma modelsintegrable field theoriesconformal field models in string theory

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)

Related Items

Asymmetric CFTs arising at the IR fixed points of RG flows, Novel all loop actions of interacting CFTs: construction, integrability and RG flows, The exact \(C\)-function in integrable \(\lambda\)-deformed theories, An exact symmetry in \(\lambda\)-deformed CFTs, Exact results from the geometry of couplings and the effective action, Spinning strings: \(\lambda\)-deformation and non-abelian T-dual limit, Bosonization, duality, and the \(C\)-theorem in the non-abelian Thirring model, The most general ${\lambda}$-deformation of CFTs and integrability, Supersymmetric solutions of type-II supergravity from \(\lambda\)-deformations and zoom-in limits, The magic renormalisability of affine Gaudin models, Scattering in integrable pp-wave backgrounds: \(S\)-matrix and absence of particle production, Supersymmetric backgrounds from \(\lambda\)-deformations, Integrable deformations of the \(\operatorname{G}_{k_1} \times \operatorname{G}_{k_2} / \operatorname{G}_{k_1 + k_2}\) coset CFTs, Weyl anomaly and the \(C\)-function in \(\lambda\)-deformed CFTs, A free field perspective of \(\lambda\)-deformed coset CFT's, A generalized method for all-loop results in \(\lambda \)-models, Field theory and \(\lambda\)-deformations: expanding around the identity, Strong integrability of \(\lambda\)-deformed models, \(AdS\) solutions and \(\lambda\)-deformations, Integrable \(\lambda\)-deformations of the Euclidean black string, Webs of integrable theories, \(\lambda\)-Deformations in the upper-half plane, Hamiltonian integrability of the webs of integrable theories, Novel integrable interpolations, On the stability of AdS backgrounds with \(\lambda \)-deformed factors, RG flows of integrable \(\sigma \)-models and the twist function, Integrable sigma models and 2-loop RG flow, Assembling integrable \({\sigma}\)-models as affine Gaudin models, Integrable deformations of coupled \(\sigma\)-models, Quantum anisotropic sigma and lambda models as spin chains, Integrable branes in generalized \(\lambda\)-deformations

Cites Work

• All-loop anomalous dimensions in integrable \(\lambda\)-deformed \(\sigma\)-models
• Duality off the critical point in two-dimensional systems with nonabelian symmetries
• Supergravity background of \(\lambda\)-deformed model for \(\mathrm{AdS}_{2} \times S^{2}\) supercoset
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• Integrable deformations of strings on symmetric spaces
• The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable
• Supergravity background of the \(\lambda\)-deformed \(\mathrm{AdS}_{3} \times S^{3}\) supercoset
• Generalized \(\lambda\)-deformations of \( \mathrm{dS}_{p} \times S^{p}\)
• Integrability of the bi-Yang-Baxter \(\sigma\)-model
• \(\lambda\)-deformations of left-right asymmetric CFTs
• Abelian Yang-Baxter deformations and \(TsT\) transformations
• Quantum aspects of doubly deformed CFTs
• Yang-Baxter \(\sigma\)-model with WZNW term as \(\mathcal{E}\)-model
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• Nonlinear models in \(2+\epsilon\) dimensions
• On holomorphic factorization of WZW and coset models
• Exploring the lambda model of the hybrid superstring
• A new class of integrable deformations of CFTs
• Yang Baxter and anisotropic sigma and lambda models, cyclic RG and exact S-matrices
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• Conformal points and duality of non-Abelian Thirring models and interacting WZNW models
• Almost abelian twists and AdS/CFT
• The all-loop non-abelian Thirring model and its RG flow
• Double and cyclic \(\lambda\)-deformations and their canonical equivalents
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• All-loop correlators of integrable \(\lambda\)-deformed \(\sigma\)-models
• 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
• INTEGRABLE PERTURBATIONS OF CFT WITH COMPLEX PARAMETER: THE M_3/5 MODEL AND ITS GENERALIZATIONS
• On jordanian deformations of AdS₅and supergravity
• Generalized type IIB supergravity equations and non-Abelian classicalr-matrices
• An integrable deformation of the AdS₅×S⁵superstring
• Integrability of the η-deformed Neumann–Rosochatius model
• 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
• Conformal twists, Yang–Baxter σ-models & holographic noncommutativity
• New families of flows between two-dimensional conformal field theories
• Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation
• \(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models