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4. Quantum Toda field theories 4.1. Vertex operator algebras 4.2. The VOA of the
Heisenberg algebra 4.3. Quantum integrals of motion 4.4. Liouville theory 4.5. Quantum …

We discuss the emergence of\(\mathcal {W}\mbox {-algebras}\) as asymptotic symmetries of
higher-spin gauge theories coupled to three-dimensional Einstein gravity with a negative …

The theory of soliton equations and integrable systems has developed rapidly during the last
30 years with numerous applications in mechanics and physics. For a long time, books in …

We propose a duality between the 2d WN minimal models in the large N't Hooft limit, and a
family of higher spin theories on AdS 3. The 2d conformal field theories (CFTs) can be …

Exactly solvable models, that is, models with explicitly and completely diagonalizable
Hamiltonians are too few in number and insufficiently diverse to meet the requirements of …

This thesis presents the state of the art in the study of Bondi-Metzner-Sachs (BMS) symmetry
and its applications in the simplified setting of three dimensions. It focuses on presenting all …

We discuss how to systematically compute the asymptotic symmetry algebras of generic
three-dimensional bosonic higher-spin gauge theories in backgrounds that are …

A bstract We provide a holographic perspective on correlation functions in Schwarzian
quantum mechanics, as boundary-anchored Wilson line correlators in Jackiw-Teitelboim …

A bstract We investigate structural aspects of JT gravity through its BF description. In
particular, we provide evidence that JT gravity should be thought of as (a coset of) the …