Quantum aspects of doubly deformed CFTs

DOI10.1016/j.nuclphysb.2017.04.004zbMath1361.81136arXiv1703.00462OpenAlexW2591952733MaRDI QIDQ529319

George Georgiou, Konstantinos Sfetsos, Konstantinos Siampos, Eftychia Sagkrioti

Publication date: 18 May 2017

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

Full work available at URL: https://arxiv.org/abs/1703.00462

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Model quantum field theories (81T10) Gravitational interaction in quantum theory (81V17) Lagrangian formalism and Hamiltonian formalism in mechanics of particles and systems (70S05) Formal methods and deformations in algebraic geometry (14D15)

Related Items (20)

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 ⋮ RG flows for \(\lambda\)-deformed CFTs ⋮ Double and cyclic \(\lambda\)-deformations and their canonical equivalents ⋮ An exact symmetry in \(\lambda\)-deformed CFTs ⋮ Exact results from the geometry of couplings and the effective action ⋮ The most general ${\lambda}$-deformation of CFTs and integrability ⋮ 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 ⋮ 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 ⋮ Webs of integrable theories ⋮ Hamiltonian integrability of the webs of integrable theories ⋮ Novel integrable interpolations ⋮ RG flows of integrable \(\sigma \)-models and the twist function ⋮ Integrable sigma models and 2-loop RG flow ⋮ 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
• The anisotropic \(\lambda\)-deformed \(\mathrm{SU}(2)\) model is integrable
• \(\lambda\)-deformations of left-right asymmetric CFTs
• Gauged WZW-type theories and the all-loop anisotropic non-Abelian Thirring model
• Nonlinear models in \(2+\epsilon\) dimensions
• Current algebras and Wess-Zumino model in two dimensions
• A new class of integrable deformations of CFTs
• Conformal points and duality of non-Abelian Thirring models and interacting WZNW models
• The all-loop non-abelian Thirring model and its RG flow
• 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
• Chiral stabilization of the renormalization group for flavor and color anisotropic current interactions

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