η and λ deformations as \cal E-models

2015/08/31 by Ctirad Klimcik · 1 citation
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2015.09.011

published as Nucl.Phys. B900 (2015) 259 · 20 pages, final version accepted for publication in Nuclear Physics B

arxiv created 2015/09/21 · arxiv updated 2016/01/06

Abstract

We show that the so called λ deformed σ-model as well as the η deformed one belong to a class of the \cal E-models introduced in the context of the Poisson-Lie-T-duality. The λ and η theories differ solely by the choice of the Drinfeld double; for the λ model the double is the direct product G× G while for the η model it is the complexified group G^ℂ. As a consequence of this picture, we prove for any G that the target space geometries of the λ-model and of the Poisson-Lie T-dual of the η-model are related by a simple analytic continuation.

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