## Local conformal structure of Liouville Conformal Field theory

Type:
Site:
Date:
25/04/2017 - 13:45 - 14:45
Salle:
P2 131
Orateur:
VARGAS Vincent
Localisation:
ENS Paris
Localisation:
France
Localisation:
ENS Paris
Localisation:
France
Résumé:

Liouville conformal field theory (LCFT) is a family of CFTs
which arise in a wide variety of contexts in the physics literature. There
are two main (seemingly unrelated) approaches to LCFT in the physics
literature: one in the Feynman path integral formulation and one in the
conformal bootstrap approach. Recently, we constructed rigorously LCFT in
the Feynman path integral formulation. In this talk, I will present recent
results on the local conformal structure of LCFT in the Feynman path
integral formulation (Ward and BPZ identities, operator product expansion,
etc...). These results are a first step in showing that both approaches in
the physics literature (Feynmam path integral and conformal bootstrap) are
in fact identical.
Based on joint works with F. David, A. Kupiainen and R. Rhodes.