Integrable 2d sigma models: quantum corrections to geometry from RG flow

DOI10.1016/j.nuclphysb.2019.114798zbMath1435.81122arXiv1907.04737OpenAlexW2961938712MaRDI QIDQ2186406

Ben Hoare, Nat Levine, Arkady A. Tseytlin

Publication date: 9 June 2020

Published in: Nuclear Physics. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.04737

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) Formal methods and deformations in algebraic geometry (14D15) Effective quantum field theories (81T12)

Related Items

Generalized dualities and higher derivatives, Sigma models with local couplings: a new integrability-RG flow connection, Dual description of \(\eta\)-deformed OSP sigma models, The twisted story of worldsheet scattering in \(\eta\)-deformed \(\mathrm{AdS}_5 \times S^5\), An exact symmetry in \(\lambda\)-deformed CFTs, Two-loop conformal invariance for Yang-Baxter deformed strings, Bi-\(\eta\) and bi-\(\lambda\) deformations of \(\mathbb{Z}_4\) permutation supercosets, Flag manifold sigma models and nilpotent orbits, The magic renormalisability of affine Gaudin models, Universal 1-loop divergences for integrable sigma models, Integrable \(\lambda\)-deformations of the Euclidean black string, RG flows of integrable \(\sigma \)-models and the twist function, Sigma models as Gross-Neveu models, Integrable sigma models and 2-loop RG flow, Integrable deformations of coupled \(\sigma\)-models, On loop corrections to integrable \(2D\) sigma model backgrounds

Cites Work

• Integrable deformations of strings on symmetric spaces
• On the perturbative S-matrix of generalized sine-Gordon models
• Exact bosonic and supersymmetric string black hole solutions
• On T-duality and integrability for strings on AdS backgrounds
• On classical \(q\)-deformations of integrable \(\sigma\)-models
• On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets
• \(T\)-duality and two-loop renormalization flows
• Dilaton transformation under abelian and non-abelian \(T\)-duality in the path-integral approach
• Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
• On dual description of the deformed \(O(N)\) sigma model
• Integrability, duality and sigma models
• Classical and quantum aspects of Yang-Baxter Wess-Zumino models
• The sigma model (dual) representation for a two-parameter family of integrable quantum field theories
• The integrable harmonic map problem versus Ricci flow
• Integrable deformations of the \(\text{O}(3)\) sigma model. The sausage model
• Conformal sigma models corresponding to gauged Wess-Zumino-Witten theories.
• Dressing cosets and multi-parametric integrable deformations
• The all-loop non-abelian Thirring model and its RG flow
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• The symmetric space and homogeneous sine-Gordon theories
• DUALITY AND DILATON
• ON THE EQUIVALENCE OF DUAL THEORIES
• Deformed integrableσ-models, classicalR-matrices and classical exchange algebra on Drinfel’d doubles
• String theory and black holes
• Exact solutions of closed string theory
• Perturbative quantum (in)equivalence of dual \(\sigma\) models in \(2\) dimensions
• Dualised \(\sigma{}\)-models at the two-loop order
• Generalised integrable \(\lambda\)- and \(\eta\)-deformations and their relation
• \(\eta\) and \(\lambda\) deformations as \(\mathcal{E}\)-models
• Unnamed Item