Speaker
Hank Chen
Description
The 2d Wess-Zumino-Witten CFT is an integrable field theory that is known to host infinitely many conserved currents that obey the affine Kac-Moody algebra. This talk is based on the joint work https://arxiv.org/abs/2405.18625 with J. Liniado, where we introduced a 3d integrable field theory which can be thought of as a topological-holomorphic analogue of the 2d WZW CFT. A detailed analysis of its conserved chiral higher currents reveals the structure of a differential graded analogue of the 2-Kac-Moody algebra akin to Hennion-Faonte-Kapranov, and their higher holonomies have interesting geometric properties.
Author
Hank Chen