Abstract
We provide a new construction of the dressing cosets σ-models which is based on an isotropic gauging of the mathcal{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 characterised in terms of current algebras.
Highlights
Integrable deformations of nonlinear σ-models on group manifolds and on coset spaces constitute presently a topic of intense research activity
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 automatically renormalizable and their dynamics can be completely characterised in terms of current algebras
Is the list of the original results obtained in the present article: 1) We show that the presence of the TsT parameter matrix ω in the Lagrangian has no impact neither on the first order Hamiltonian dynamics of the DHKM model nor on its renormalizability, it is true at the same time that this presence does influence the target space geometry
Summary
Integrable deformations of nonlinear σ-models on group manifolds and on coset spaces constitute presently a topic of intense research activity. [52,53,54] by the present author, where we introduced the so called η-deformations, induced in an appropriate way by solutions of the (modified) Yang-Baxter equation on the Lie algebra of the target group This ηdeformation algorithm, combined with the coset construction of refs. Delduc, Hoare, Kameyama and Magro have found the multi-parametric integrable σ-model (1.1) living on an arbitrary simple group manifold K [18] In their approach, they succeeded to merge consistently several deformation procedures studied previously in a separate way, like the (bi)-Yang-Baxter deformations [52,53,54], the addition of the WZW term [21] or the introduction of the so-called TsT matrix [35, 73, 77, 81, 96, 97].
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