Higher chiral algebras and free field realizations

Organizer

李思

Speaker

Zhengping Gui

SIMIS and Fudan University

Time

Tues., 10:00-12:00

Dec. 30, 2025

Venue

Room 102, No.1 Teaching Building, Tsinghua University

清华大学 一教 102

Higher chiral algebras and free field realizations

We use the Jouanolou model as a model for configuration spaces to construct higher-dimensional chiral algebras. In this model, chiral algebras can be studied as homotopy Lie algebras within a pseudotensor structure. Parallel to the standard complex one-dimensional case, free field realizations provide a useful tool and offer access to studying explicit expressions for higher-dimensional Virasoro and Kac-Moody central extensions. This is a joint work with Minghao Wang and Brian Williams.

About the Speaker

I work in the field of mathematical physics and am interested in the algebraic and geometric aspects of quantum field theory and string theory. My current research focuses on nonlinear \(\sigma\)-models, renormalization theory, quantizations, and 2D (and higher-dimensional) holomorphic field theories.