Free strings on backgrounds such as AdS3xS3xT4 and AdS3xS3xS3xS1 can be described by integrable sigma models, which admit a very rich landscape of integrable deformations. In this talk I will focus on TsT, trigonometric and elliptic deformations which preserve some amount of supersymmetries and interpolate between well-known integrable setups. I will present the deformed geometry and check that the S-matrix encoding the scattering of excitations on the string worldsheet is compatible with factorisation.

Integrable models are the cornerstones of theoretical physics, simple enough to be solved exactly and yet rich enough to offer a glimpse into the dynamics of more intricate systems. Also two-dimensional field theories or string theories can be integrable. In this talk I will discuss integrability in field and string theories and present a special class of integrable models that promote the symmetry algebra of the undeformed theory to a quantum group. [please email a.held@imperial.ac.uk for zoom link or password]