Alexander Schenkel 副教授学术报告
Title: 5d semi-holomorphic higher Chern-Simons theory and 3d integrable field theories
Speaker: Alexander Schenkel
Affiliation: University of Nottingham, UK (英国诺丁汉大学)
Time: 16:00-17:00, Friday, 16th May, 2025 (UTC+8, Beijing Time)
Venue: Zoom Meeting (ID: 385 442 0225; Passcode: yauc)
Inviter: Ryo Suzuki
Abstract
Costello and Yamazaki developed a very beautiful and powerful geometric framework for the Lax formalism of 2d integrable field theories, which is rooted in a 4d semi-holomorphic Chern-Simons theory. Inspired by the scarcity of higher-dimensional integrable field theories, and their still mysterious conceptual foundations, we have explored extensions of this gauge-theoretic framework to higher dimensions. In this talk, I will introduce a 5d semi-holomorphic higher Chern-Simons theory defined on product manifolds X = M x CP^1, which depends on the choice of a cyclic Lie 2-group and a meromorphic 1-form \omega on CP^1. By imposing appropriate boundary and singularity conditions at the poles and zeros of \omega, this theory generates 3d integrable field theories along with their associated Lax 2-connections. As a concrete example, I will demonstrate how a model related to Ward’s (2+1)-dimensional integrable chiral model emerges from this 5d perspective.
This talk is based on joint work with Benoit Vicedo [arXiv:2405.08083].
Speaker
Dr. Alexander Schenkel is Associate Professor of Mathematical Physics at the University of Nottingham. He earned his PhD in Theoretical Physics at the University of Würzburg and held postdoctoral positions at Wuppertal, Heriot-Watt and Regensburg before holding a Royal Society University Research Fellowship at Nottingham. His research focuses on mathematical structures in quantum field theory, such as higher categories, Hopf algebras and deformation quantization.
The seminar will be broadcasted online by Zoom.
Interested people are free to join, without registration in advance.
The Zoom info is
URL: https://us02web.zoom.us/j/3854420225?pwd=SXY4eWJKOTBFZWJDaE16aXpTamY1QT09
Meeting ID: 385 442 0225
Passcode: yauc