My latest work titled “The Geroch group in Einstein spaces” has appeared in http://arxiv.org/pdf/1403.6511.pdf.

Together with R. G. Leigh, M. Petropoulos and P. Tripathy, we have studied how the presence of a cosmological constant modifies the well-known Geroch solution generating technique and its integrability properties. Remarkably, the cosmological constant enters as a constant shift in the Hamiltonian, hence it does not modify the equations of motion neither the integrability properties of the sigma model. It does break, however, the part of SL(2,R) that interchanges the mass and the nut charge. This means that these two constants of motion are not interchangeable under a canonical transformation and hence the the gravitational “electric-magnetic” duality is lost. Nevertheless, perhaps surprisingly our results show that the Schwarzchild-AdS and Taub-NUT-AdS  solutions emerge from the Geroch technique and hence they are related t each other.