This is the webpage for the Liouville conformal field theory reading group at KTH, which will start Spring 2025.
Liouville conformal field theory (LCFT) was introduced by Polyakov in the 80's as part of his path integral approach to string theory. It is a quantum field theory which satisfies conformal symmetries, appearing in the physics literature in the context of two-dimensional (discrete and continuum) quantum gravity and four-dimensional supersymmetric Yang-Mills theory. A large effort has been put into making LCFT mathematically rigorous and it is now a cornerstone in random conformal geometry.
NEXT MEETING: Doodle link sent out.
??/5: Weyl anomaly formula
19/5: The Polyakov measure
14/5: Spherical GFF.
5/5: General goals.
Some general information:
Literature: Chapter 5 of the (upcoming) book by Berestycki and Powell, the latest version of which can be found here.
Meetings: varying intensity, depending on what the participants want and their availability. Will discuss when we meet, but one meeting per two weeks seems reasonable.
If you are interested in joining, please email Lukas Schoug (lschoug@kth.se) or Levi Haunschmid-Sibitz (levihs@kth.se), so that we can gauge the interest.