The exact \(C\)-function in integrable \(\lambda\)-deformed theories

DOI10.1016/j.physletb.2018.06.023zbMath1404.81226arXiv1805.03731OpenAlexW2802767274MaRDI QIDQ1632134

George Georgiou, Pantelis Panopoulos, Konstantinos Sfetsos, Konstantinos Siampos, Eftychia Sagkrioti

Publication date: 13 December 2018

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

Full work available at URL: https://arxiv.org/abs/1805.03731

zbMATH Keywords

current algebraconformal field theories\(\lambda\)-deformationcoset CFTsZamolodchikov's \(c\)-theorem

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) 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)

Related Items (12)

Asymmetric CFTs arising at the IR fixed points of RG flows ⋮ Novel all loop actions of interacting CFTs: construction, integrability and RG flows ⋮ An exact symmetry in \(\lambda\)-deformed CFTs ⋮ Exact results from the geometry of couplings and the effective action ⋮ Bosonization, duality, and the \(C\)-theorem in the non-abelian Thirring model ⋮ The most general ${\lambda}$-deformation of CFTs and integrability ⋮ Weyl anomaly and the \(C\)-function in \(\lambda\)-deformed CFTs ⋮ A free field perspective of \(\lambda\)-deformed coset CFT's ⋮ Integrable \(\lambda\)-deformations of the Euclidean black string ⋮ Webs of integrable theories ⋮ Hamiltonian integrability of the webs of integrable theories ⋮ Kerr-Schild perturbations of coset CFTs as scale invariant integrable \(\sigma\)-models

Cites Work

• All-loop anomalous dimensions in integrable \(\lambda\)-deformed \(\sigma\)-models
• Duality off the critical point in two-dimensional systems with nonabelian symmetries
• \(\lambda\)-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
• Integrable double deformation of the principal chiral model
• RG flows for \(\lambda\)-deformed CFTs
• A new class of integrable deformations of CFTs
• Integrable deformations of the \(\operatorname{G}_{k_1} \times \operatorname{G}_{k_2} / \operatorname{G}_{k_1 + k_2}\) coset CFTs
• Integrable flows between exact CFTs
• Classical and quantum aspects of Yang-Baxter Wess-Zumino models
• 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
• On the thermodynamic Bethe ansatz equation in the sinh-Gordon model
• Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions

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