Dressing Cosets

Abstract

The account of the Poisson-Lie T-duality is presented for the case when the action of the duality group on a target is not free. At the same time a generalization of the picture is given when the duality group does not even act on $\si$-model targets but only on their phase spaces. The outcome is a huge class of dualizable targets generically having no local isometries or Poisson-Lie symmetries whatsoever.

11 pages, LaTeX

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Cited by in corpus (46)

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• Supergravity background of lambda-deformed model for AdS2 x S2 supercoset
• Integrable Deformations of Sigma Models
• Poisson-Lie T-duals of the bi-Yang-Baxter models
• 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
• Dressing cosets and multi-parametric integrable deformations
• Target Space Duality I: General Theory
• Exploring Exceptional Drinfeld Geometries
• Integrable $\mathcal{E}$-Models, 4d Chern-Simons Theory and Affine Gaudin Models. I. Lagrangian Aspects
• Hamiltonian Approach to Poisson Lie T-Duality
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• Poisson-Lie duals of the eta deformed symmetric space sigma model
• RG flows of integrable $\sigma$-models and the twist function
• Quantum equivalence of sigma models related by non Abelian Duality Transformations
• A non-abelian duality for (higher) gauge theories
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• Non-Abelian Duality for Open Strings
• Brief lectures on duality, integrability and deformations
• T-Duality for Coset Models
• Strong integrability of the bi-YB-WZ model
• On integrability of 2-dimensional $\sigma$-models of Poisson-Lie type
• Consistent Truncations and Dualities
• O($D$,$D$)-covariant two-loop $\beta$-functions and Poisson-Lie T-duality
• Hamiltonian Loop Group Actions and T-Duality for group manifolds
• Dressing cosets revisited
• Affine Poisson and affine quasi-Poisson T-duality
• All maximal gauged supergravities with uplift
• Supersymmetric gauged WZNW models as dressing cosets
• Generalized Dualities and Supergroups
• On strong integrability of the dressing cosets
• Geometry of the spectral parameter and renormalisation of integrable $\sigma$-models
• Integrable deformation of ${\mathbb{CP}}^n$ and generalised Kaehler geometry
• $T\bar{T}$ and root-$T\bar{T}$ deformations in four-dimensional Chern-Simons theory
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Poisson-Lie T-duality and (1,1) supersymmetry
• Non-Abelian T-duality for open strings
• Poisson-Lie T-plurality for dressing cosets
• An invitation to Poisson-Lie T-duality in Double Field Theory and its applications
• Dual Instantons
• Superintegrability, symmetry and point particle T-duality
• Point particle E-models