Dressing cosets and multi-parametric integrable deformations

Abstract

We provide a new construction of the dressing cosets sigma-models which is based on an isotropic gauging of the E-models. As an application of this new approach, we show that the recently constructed multi-parametric integrable deformations of the principal chiral model are the dressing cosets, they are therefore automatically renormalizable and their dynamics can be completely characterized in terms of current algebras.

36 pages, minor changes, version accepted for publication in JHEP

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Cited by in corpus (21)

• Integrable Deformations of Sigma Models
• 4-dimensional Chern-Simons theory and integrable field theories
• Yang-Baxter deformations of the Principal Chiral Model plus Wess-Zumino term
• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• RG flows of integrable $\sigma$-models and the twist function
• Integrable deformations of coupled sigma-models
• Integrable degenerate $\mathcal{E}$-models from 4d Chern-Simons theory
• Brief lectures on duality, integrability and deformations
• Integrable supersymmetric deformations of $\mathrm{Ad}{\mathrm{S}}_3\times {\mathrm{S}}^3\times {\mathrm{T}}^4$
• Strong integrability of the bi-YB-WZ model
• Consistent Truncations and Dualities
• Generalized Dualities and Supergroups
• On strong integrability of the dressing cosets
• Deformed $\sigma$-models, Ricci flow and Toda field theories
• Analytic Non-Integrability and S-Matrix Factorization
• 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
• Lax pairs for new ${\mathbb{Z}}_N$-symmetric coset $\sigma$-models and their Yang-Baxter deformations
• On some integrable deformations of the Wess-Zumino-Witten model
• On a class of conformal $\mathcal{E}$-models and their chiral Poisson algebras
• Poisson-Lie T-plurality for dressing cosets