Integrable deformations of the \(\operatorname{G}_{k_1} \times \operatorname{G}_{k_2} / \operatorname{G}_{k_1 + k_2}\) coset CFTs

DOI10.1016/j.nuclphysb.2017.12.011zbMath1380.81361arXiv1710.02515OpenAlexW2761392204MaRDI QIDQ1701134

Konstantinos Sfetsos, Konstantinos Siampos

Publication date: 22 February 2018

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

Full work available at URL: https://arxiv.org/abs/1710.02515

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Groups and algebras in quantum theory and relations with integrable systems (81R12) Commutation relations and statistics as related to quantum mechanics (general) (81S05) Formal methods and deformations in algebraic geometry (14D15)

Related Items (22)

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 ⋮ RG flow between \(W_3\) minimal models by perturbation and domain wall approaches ⋮ The most general ${\lambda}$-deformation of CFTs and integrability ⋮ Integrable sigma models at RG fixed points: quantisation as affine Gaudin models ⋮ Supersymmetric backgrounds from \(\lambda\)-deformations ⋮ A free field perspective of \(\lambda\)-deformed coset CFT's ⋮ Field theory and \(\lambda\)-deformations: expanding around the identity ⋮ Strong integrability of \(\lambda\)-deformed models ⋮ \(AdS\) solutions and \(\lambda\)-deformations ⋮ Webs of integrable theories ⋮ \(\lambda\)-Deformations in the upper-half plane ⋮ Novel integrable interpolations ⋮ On the stability of AdS backgrounds with \(\lambda \)-deformed factors ⋮ Classical and quantum aspects of Yang-Baxter Wess-Zumino models ⋮ RG flows of integrable \(\sigma \)-models and the twist function ⋮ Deformed \(\sigma\)-models, Ricci flow and Toda field theories ⋮ Quantum anisotropic sigma and lambda models as spin chains ⋮ Integrable branes in generalized \(\lambda\)-deformations

Cites Work

• Integrable deformations of strings on symmetric spaces
• \(\lambda\)-deformations of left-right asymmetric CFTs
• Quantum aspects of doubly deformed CFTs
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Non-Abelian bosonization in two dimensions
• The classical Yang-Baxter equation and the associated Yangian symmetry of gauged WZW-type theories
• Nonlinear models in \(2+\epsilon\) dimensions
• A new class of integrable deformations of CFTs
• Integrable flows between exact CFTs
• On nonabelian duality
• 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
• Beta function of \(k\) deformed \(\mathrm{AdS}_{5}\times S^{5}\) string theory

This page was built for publication: Integrable deformations of the \(\operatorname{G}_{k_1} \times \operatorname{G}_{k_2} / \operatorname{G}_{k_1 + k_2}\) coset CFTs