In these introductory lectures we discuss the topic of Yangian symmetry from various
perspectives. Forming the classical counterpart of the Yangian and an extension of ordinary …

We give a pedagogical introduction to the thermodynamic Bethe ansatz, a method that
allows us to describe the thermodynamics of integrable models whose spectrum is found via …

A bstract The worldsheet S matrix of strings on the AdS 3× S 3× T 4 background is almost
entirely fixed by symmetries, up to five functions—the dressing factors. These must satisfy …

We present a method to deform (generically non-Abelian) T duals of two-dimensional σ
models, which preserves classical integrability. The deformed models are identified by a …

We prove that abelian Yang–Baxter deformations of superstring coset σ models are
equivalent to sequences of commuting TsT transformations, meaning T dualities and …

A bstract We conjecture a new way to construct eigenstates of integrable XXX quantum spin
chains with SU (N) symmetry. The states are built by repeatedly acting on the vacuum with a …

A bstract We perform non-abelian T-duality for a generic Green-Schwarz string with respect
to an isometry (super) group G, and we derive the transformation rules for the supergravity …

This review is based on the lectures given by the author at the Les Houches Summer School
2016. It describes the recently developed Quantum Spectral Curve (QSC) for a non …

We consider current-current deformations that generalize TT¯ ones, and show that they may
be also introduced for integrable spin chains. In analogy with the integrable QFT setup, we …

A novel classically integrable model is proposed. It is a deformation of the two-dimensional
principal chiral model, embedded into a heterotic σ model by a particular heterotic gauge …