Nuclear Physics B (Nov 2015)

η and λ deformations as E-models

  • Ctirad Klimčík

DOI
https://doi.org/10.1016/j.nuclphysb.2015.09.011
Journal volume & issue
Vol. 900, no. C
pp. 259 – 272

Abstract

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We show that the so-called λ deformed σ-model as well as the η deformed one belong to a class of the 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 GC. 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.