These are pedagogical lecture notes discussing current–current deformations of 2-
dimensional field theories. The deformations that are considered here are generated …

A bstract We study the renormalisation of a large class of integrable σ-models obtained in
the framework of affine Gaudin models. They are characterised by a simple Lie …

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 …

Generalized parallelizable spaces permit the uplift of many maximal gauged supergravities
to ten or eleven dimensions. Although some of the former are explicitly known, the literature …

A bstract Recent progress in generalised geometry and extended field theories suggests a
deep connection between consistent truncations and dualities, which is not immediately …

This review is a collection of various methods and observations relevant to structures in
three-dimensional systems similar to those responsible for the integrability of …

We construct a new infinite family of integrable deformations of the principal chiral model
(PCM) parameterized by an interaction function of several variables, which extends the …

A bstract We study Poisson-Lie T-duality of the Wess-Zumino-Novikov-Witten (WZNW)
models which are obtained from a class of Drinfel'd doubles and its generalization. In this …

A universal structure of world-volume theories of 1 2-BPS branes in string and M-theory in
terms of exceptional generalised geometry is observed. Previous constructions are …

These lecture notes are based on a blackboard course given at the XVII Modave Summer
School in Mathematical Physics held from 13--17 September 2021 in Brussels (Belgium) …