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 review different exact approaches to string theory. In the context of the Green-Schwarz
superstring, we discuss the action in curved backgrounds and its supercoset formulation …

Anomalous finite-temperature transport has recently been observed in numerical studies of
various integrable models in one dimension; these models share the feature of being …

We establish the explicit correspondence between the theory of soliton gases in classical
integrable dispersive hydrodynamics, and generalized hydrodynamics (GHD), the …

In these lecture notes we aim for a pedagogical introduction to both classical and quantum
integrability. Starting from Liouville integrability and passing through Lax pair and r-matrix …

Abstract The Quantum Max Cut (QMC) problem has emerged as a test-problem for
designing approximation algorithms for local Hamiltonian problems. In this paper we attack …

Light-cone gauge-fixed sigma models on AdS n× S n backgrounds play an important role in
the integrability formulation of the AdS/CFT correspondence. The string spectrum of the …

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 …

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 …

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