Poisson-Lie duals of the eta deformed symmetric space sigma model

Understand

Poisson-Lie dualising the eta deformation of the G/H symmetric space sigma model with respect to the simple Lie group G is conjectured to give an analytic continuation of the associated lambda deformed model.

• In this paper we investigate when the eta deformed model can be dualised with respect to a subgroup G_0 of G.
• Starting from the first-order action on the complexified group and integrating out the degrees of freedom associated to different subalgebras, we find it is possible to dualise when G_0 is associated to a sub-Dynkin diagram.
• Additional U_1 factors built from the remaining Cartan generators can also be included.