Poisson-Lie T-Duality and Supersymmetry

Abstract

We review aspects of Poisson-Lie T-duality which we explicitly formulate as a canonical transformation on the world-sheet. Extensions of previous work on T-duality in relation to supersymmetry are also discussed. (Contribution to the proceedings of the 30th International Symposium Ahrenshoop on the Theory of Elementary Particles, Buckow, Germany, 26-31 August 1996)

12 pages, latex

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Cited by in corpus (37)

• Generalised integrable $\lambda$- and $\eta$-deformations and their relation
• Doubled aspects of generalised dualities and integrable deformations
• Canonical equivalence of non-isometric sigma models and Poisson-Lie T-duality
• Poisson-Lie T-plurality
• Renormalization of Lorentz non-invariant actions and manifest T-duality
• Poisson-Lie U-duality in Exceptional Field Theory
• Poisson-Lie T-Duality beyond the classical level and the renormalization group
• Duality-invariant class of two-dimensional field theories
• Type II DFT solutions from Poisson-Lie T-duality/plurality
• Quantum equivalence in Poisson-Lie T-duality
• Double and cyclic $\lambda$-deformations and their canonical equivalents
• Target Space Duality I: General Theory
• Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
• BTZ black hole from Poisson-Lie T-dualizable sigma models with spectators
• Exact conformal field theories from mutually T-dualizable $\sigma$-models
• Super Poisson-Lie symmetry of the GL(1|1) WZNW model and worldsheet boundary conditions
• Poisson Lie symmetry and D-branes in WZW model on the Heisenberg Lie group $H_4$
• Target Space Pseudoduality Between Dual Symmetric Spaces
• Worldsheet boundary conditions in Poisson-Lie T-duality
• D-branes in $\lambda$-deformations
• Hamiltonian Loop Group Actions and T-Duality for group manifolds
• Poisson-Lie T-Duality of WZW Model via Current Algebra Deformation
• On the Poisson-Lie T-plurality of boundary conditions
• Cosmological string backgrounds from super Poisson-Lie T-plurality
• Poisson-Lie T-plurality as canonical transformation
• Poisson-Lie T-duality and (1,1) supersymmetry
• Yang-Baxter deformations of the $GL(2,\mathbb{R})$ WZW model and non-Abelian T-duality
• T-duality/plurality of BTZ black hole metric coupled to two fermionic fields
• Topological defects as lagrangian correspondences
• Poisson-Lie T-duality defects and target space fusion
• $Ad{S}_3\times S^3$ Background from Poisson-Lie T-Duality
• Poisson-Lie T-duality and N=2 superconformal WZNW models on compact groups
• Comments on Dualities on Group Manifolds and Supersymmetry
• Integrable deformed H${}_{{}_4}$ WZW models and their non-Abelian duals as solutions of generalized supergravity equations
• Perturbed N=(2,2) supersymmetric sigma models on Lie groups
• Supersymmetric Quantum Corrections and Poisson-Lie T-Duality
• Non-Abelian target space duals of Thurston geometries