Integrable sigma models and 2-loop RG flow

DOI10.1007/JHEP12(2019)146zbMath1431.81073arXiv1910.00397OpenAlexW3105534776WikidataQ126533629 ScholiaQ126533629MaRDI QIDQ2303210

Nat Levine, Ben Hoare, Arkady A. Tseytlin

Publication date: 2 March 2020

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

Full work available at URL: https://arxiv.org/abs/1910.00397

zbMATH Keywords

renormalization groupsigma modelsintegrable field theories

Mathematics Subject Classification ID

Model quantum field theories (81T10) Renormalization group methods applied to problems in quantum field theory (81T17) Groups and algebras in quantum theory and relations with integrable systems (81R12)

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Cites Work

• Unnamed Item
• Duality off the critical point in two-dimensional systems with nonabelian symmetries
• Superisometries and integrability of superstrings
• Derivation of the action and symmetries of the \(q\)-deformed \({\mathrm{AdS}}_5\times S^5\) superstring
• Integrable deformations of strings on symmetric spaces
• Hidden Yangian symmetry in sigma model on squashed sphere
• Review of AdS/CFT integrability, chapter VI.1: Superconformal symmetry
• Non-local charges and quantum integrability of sigma models on the symmetric spaces \(SO(2n)/SO(n)\times SO(n)\) and \(Sp(2n)/sp(n)\times sp(n)\)
• Quantum aspects of doubly deformed CFTs
• The worldsheet low-energy limit of the \(AdS_4\times {\mathbb C}P^3\)superstring
• Supergravity backgrounds of the \(\eta\)-deformed \(\mathrm{AdS}_{2} \times S^2 \times T^6\) and \(\mathrm{AdS}_{5} \times S^5\) superstrings
• Conformal invariance and quantum integrability of sigma models on symmetric superspaces
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Non-Abelian bosonization in two dimensions
• Conformal sigma models on supercoset targets
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• Nonlinear models in \(2+\epsilon\) dimensions
• Renormalizability and infrared finiteness of nonlinear \(\sigma\)-models: A regularization-independent analysis for compact coset spaces
• On dual description of the deformed \(O(N)\) sigma model
• Target space supergeometry of \(\eta\) and \(\lambda\)-deformed strings
• A new class of integrable deformations of CFTs
• Poisson-Lie duals of the \(\eta\) deformed symmetric space sigma model
• Integrable flows between exact CFTs
• Integrability, duality and sigma models
• Conformal points and duality of non-Abelian Thirring models and interacting WZNW models
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• The integrable harmonic map problem versus Ricci flow
• On the integrability of two-dimensional models with \(U(1)\times SU(N)\) symmetry
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• Chiral gauged WZNW models and heterotic string backgrounds
• On a universal class of WZW-type conformal models
• Integrable 2d sigma models: quantum corrections to geometry from RG flow
• 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
• Strings on semisymmetric superspaces
• Beta function of \(k\) deformed \(\mathrm{AdS}_{5}\times S^{5}\) string theory
• RENORMALIZATION PROPERTIES OF TWO-DIMENSIONAL HOMOGENEOUS SYMPLECTIC σ-MODELS
• ON THE EQUIVALENCE OF DUAL THEORIES
• An integrable deformation of the AdS₅×S⁵superstring
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• Poisson-Lie \(T\)-duality
• Perturbative quantum (in)equivalence of dual \(\sigma\) models in \(2\) dimensions
• On \(G/H\) geometry and its use in M-theory compactifications
• Dualised \(\sigma{}\)-models at the two-loop order
• 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