On quantum \(T\)-duality in \(\sigma\) models

DOI10.1016/S0550-3213(98)00548-3zbMath0956.81064arXivhep-th/9806068OpenAlexW1541380043WikidataQ126077955 ScholiaQ126077955MaRDI QIDQ1570727

N. Delaunay

Publication date: 11 July 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9806068

zbMATH Keywords

perturbation theorynonlinear sigma modelsquantum equivalenceDrinfeld double\(T\)-dualityPoisson-Lie \(T\)-dualityanomalous Ward identity

Mathematics Subject Classification ID

Model quantum field theories (81T10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Double and cyclic \(\lambda\)-deformations and their canonical equivalents, One-loop renormalizability of all 2-dimensional Poisson-Lie \(\sigma\)-models, Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds, On quantum Poisson-Lie T-duality of WZNW models, On integrable deformations of superstring sigma models related to \(\mathrm{AdS}_n \times \mathrm{S}^n\) supercosets, Aspects of quantum fermionic T-duality, Poisson-Lie duality in the string effective action, Dilaton transformation under abelian and non-abelian \(T\)-duality in the path-integral approach, Duality-invariant class of two-dimensional field theories, Non-Abelian duality in the string effective action, Non-Abelian T-duality in pre-big-bang cosmology

Cites Work

• General bosonic \(\sigma\) models and string effective actions
• \(T\)-duality and two-loop renormalization flows
• Canonical equivalence of non-isometric \(\sigma{}\)-models and Poisson-Lie \(T\)-duality
• Quantum Poisson-Lie \(T\)-duality and WZNW model
• Target-space duality between simple compact Lie groups and Lie algebras under the Hamiltonian formalism. I: Remnants of duality at the classical level
• Duality symmetries from nonabelian isometries in string theory
• On non-abelian duality
• DUALITY AND DILATON