Venue: HIM lecture hall (Poppelsdorfer Allee 45, Bonn)
Organizers: Roland Bauerschmidt, Eveliina Peltola, Ellen Powell, Rémi Rhodes, Eero Saksman
Description:
Two-dimensional conformal field theories (CFTs) are iconic examples of integrable quantum field theories.
Since their introduction by Belavin, Polyakov, and Zamolodchikov in 1984, they have advanced through developments in theoretical physics and mathematics, particularly via the conformal bootstrap method.
However, the connection between the constructive approach to CFT, through statistical physics models, and the probabilistic foundations of the bootstrap remains unclear.
Probability theory also has a role to play beyond exact solvability; more generally, in integrable QFT but the present understanding is then even more sparse.
This workshop will explore recent progress in the field, addressing key topics such as:
- minimal models and their connection to lattice models and
Schramm-Loewner evolution (SLE)
- probabilistic constructions of CFTs, notably the Liouville model and its implications for 2D quantum gravity
- bosonization and its role in integrability, particularly in the Sine-Gordon
and Thirring models
- the study of nonlinear sigma models and their importance in understanding
quantum spin chains
Trimester Program guests, who were invited and have confirmed to be at HIM during the period of this workshop, are eligible to attend this event.