WZW models as mutual super Poisson-Lie T-dual sigma models

DOI10.1007/JHEP07(2013)134zbMath1342.81421arXiv1303.4069OpenAlexW3102935305MaRDI QIDQ737422

A. Rezaei-Aghdam, Ali Eghbali

Publication date: 12 August 2016

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1303.4069

zbMATH Keywords

string dualitysigma modelsconformal and W symmetry

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

Cosmological string backgrounds from super Poisson-Lie T-plurality ⋮ Lie superbialgebra structures on the Lie superalgebra C3+A and deformation of related integrable Hamiltonian systems ⋮ Super non-abelian T-duality ⋮ Yang-Baxter deformation of WZW model based on Lie supergroups: the cases of \(GL(1|1)\) and \((C^3 + A)\) ⋮ Jacobi-Lie symmetry and Jacobi-Lie T-dual sigma models on group manifolds ⋮ BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators ⋮ Solution of the equations of motion for a super non-abelian sigma model in curved background by the super Poisson-Lie T-duality ⋮ Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group \(H_4\)

Cites Work

• Unnamed Item
• The \(\text{GL}(1| 1)\) WZW-model: from supergeometry to logarithmic CFT
• Type IIB superstring action in \(\text{AdS}_5\times S^5\) background
• Remarks on non-abelian duality
• Superstring theory on \(\text{AdS}_2\times S^2\) as a coset supermanifold
• Conformal field theory of AdS background with Ramond-Ramond flux
• Poisson-Lie \(T\)-duality and loop groups of Drinfeld doubles.
• D-branes in \(N=2\) WZW models
• Quantum Poisson-Lie \(T\)-duality and WZNW model
• The \(gl(1|1)\) Lie superbialgebras
• Super Poisson-Lie symmetry of the \(GL(1|1)\) WZNW model and worldsheet boundary conditions
• Duality symmetries from nonabelian isometries in string theory
• Marginal deformations of WZNW and coset models from \(\text{O}(d,d)\) transformations
• On nonabelian duality
• On non-abelian duality
• String cosmology from Poisson-Lie T-dual sigma models on supermanifolds
• On the \(\text{SU}(2| 1)\) WZNW model and its statistical mechanics applications
• DUALITY IN GAUGED WZW MODELS
• Complex and bi-Hermitian structures on four-dimensional real Lie algebras
• A classification of four-dimensional Lie superalgebras
• Classification of two and three dimensional Lie superbialgebras
• Classification of four and six dimensional Drinfel’d superdoubles
• Exact duality symmetries in CFT and string theory
• Poisson-Lie \(T\)-duality