B. Hoare, ETHZ

Title: “Integrable deformations of the AdS5 x S5 superstring: resolving some puzzles”

Abstract: recent explorations of the AdS5 x S5 superstring and its integrable deformations have greatly improved our understanding of integrable string sigma models. However, they have also led to a number of puzzles. In this talk we will focus on one particular deformation, the eta deformation, its Poisson-Lie duals and the closely related lambda deformation. In these models the symmetry algebra is q-deformed. We will review the construction of the deformed models and discuss the latest developments in the resolution of one particular puzzle: when do the deformed backgrounds solve the type II supergravity equations of motion. To conclude, we will recall some of the puzzles that remain unanswered.