Poisson-Lie T-duality and Loop Groups of Drinfeld Doubles
C. Klimcik,Pavol Ševera +1 more
TLDR
In this paper, a duality invariant first order action is constructed on the loop group of a Drinfeld double, which gives at the same time the description of both of the pair of $\sigma$-models related by Poisson-Lie T-duality.Abstract:
A duality invariant first order action is constructed on the loop group of a Drinfeld double. It gives at the same time the description of both of the pair of $\sigma$-models related by Poisson-Lie T-duality. Remarkably, the action contains a WZW-term on the Drinfeld double not only for conformally invariant $\si$-models. The resulting actions of the models from the dual pair differ just by a total derivative corresponding to an ambiguity in specifying a two-form whose exterior derivative is the WZW three-form. This total derivative is nothing but the Semenov-Tian-Shansky symplectic form on the Drinfeld double and it gives directly a generating function of the canonical transformation relating the $\si$-models from the dual pair.read more
Citations
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Double field theory: a pedagogical review
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On integrable deformations of superstring sigma models related to AdSn×Sn supercosets
Ben Hoare,Arkady A. Tseytlin +1 more
TL;DR: In this paper, integrable deformations of 2d sigma models on supercosets associated with AdS n × S n were considered, and the authors showed that the η-deformation model may be obtained from the λ-deformed one by a special scaling limit and analytic continuation in coordinates combined with a particular identification of the parameters of the two models.
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Generalised integrable λ- and η-deformations and their relation
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η and λ deformations as E-models
TL;DR: In this article, it was shown that the λ-model and the η-model are related by a simple analytic continuation, where the double is the direct product G × G while the complexified group G C.
References
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Book
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Duality, quotients, and currents
Martin Rocek,Erik Verlinde +1 more
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