The all-loop non-abelian Thirring model and its RG flow

DOI10.1016/j.physletb.2014.04.061zbMath1370.81104OpenAlexW2083978944WikidataQ125620040 ScholiaQ125620040MaRDI QIDQ2402039

Georgios Itsios, Konstadinos Sfetsos, Konstadinos Siampos

Publication date: 6 September 2017

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

Full work available at URL: https://doi.org/10.1016/j.physletb.2014.04.061

Mathematics Subject Classification ID

Model quantum field theories (81T10) Renormalization group methods applied to problems in quantum field theory (81T17)

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Cites Work

• Duality off the critical point in two-dimensional systems with nonabelian symmetries
• Non-abelian T-duality, Ramond fields and coset geometries
• On non-Abelian T-dual geometries with Ramond fluxes
• Non-Abelian bosonization in two dimensions
• Nonlinear models in \(2+\epsilon\) dimensions
• Integrable theories that are asymptotically CFT.
• On a universal class of WZW-type conformal models
• Non-abelian T-duality and the AdS/CFT correspondence: new \(N=1\) backgrounds
• Integrable interpolations: From exact CFTs to non-abelian T-duals
• Yang-Baxter \(\sigma\) model: quantum aspects
• On integrability of the Yang–Baxter σ-model