[Landau ITP Seminars] Friday 19.02.2021

[Serge Krashakov]

Уважаемые коллеги,

В пятницу 19 февраля в 11:30 состоится коллоквиум, на котором будут 
заслушан доклад:

Antti Kupiainen (University of Helsinki)
*Probabilistic Liouville Theory*

A. Polyakov introduced Liouville Conformal Field theory (LCFT) in 1981 
as a way to put a natural measure on the set of Riemannian metrics over 
a two dimensional manifold. Ever since, the work of Polyakov has echoed 
in various branches of physics and mathematics, ranging from string 
theory to probability theory and geometry. In the context of 2D quantum 
gravity models, LCFT is related through the work of Knizhnik, Polyakov 
and Zamolodchikov to the scaling limit of Random Planar Maps and through 
the Alday-Gaiotto- Tachikava correspondence LCFT is conjecturally 
related to certain 4D Yang-Mills theories. Through the work of 
Dorn,Otto, Zamolodchikov and Zamolodchikov and Teschner LCFT was argued 
to be to a certain extent integrable.
I will review a probabilistic construction of LCFT developed together 
with David, Rhodes and Vargas and recent proofs concerning the 
integrability of LCFT.
References:
Francois David, Antti Kupiainen, Remi Rhodes, Vincent Vargas, Liouville 
quantum gravity on the Riemann sphere, Commun. Math. Phys. 342 (3), 
869-907 (2016)
Antti Kupiainen, Remi Rhodes, Vincent Vargas, The DOZZ formula from the 
path integral, Journal of High Energy Physics May 2018, 2018:94
Antti Kupiainen, Remi Rhodes, Vincent Vargas, Integrability of Liouville 
Theory: Proof of the DOZZ Formula, Annals of Mathematics 191, 81-166, 
(2020)
Colin Guillarmou, Antti Kupiainen, Remi Rhodes, Vincent Vargas, 
Conformal bootstrap in Liouville Theory, arXiv:2005.11530


Доклад будет сопровождаться онлайн-трансляцией в Zoom.  ID и пароль те 
же, что и для предыдущих трансляций:
https://zoom.us/j/96899364518?pwd=MzBsR2lYT0lYL2x2b1oyNU9LeWlWUT09
Meeting ID: 968 9936 4518
Пароль: 250319


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