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BIMSA TQFT and Higher Symmetries Seminar
A topological-holomorphic integrable field theory from Lie 2-groups and the 2-Kac-Moody algebra
A topological-holomorphic integrable field theory from Lie 2-groups and the 2-Kac-Moody algebra
演讲者
时间
2024年09月24日 10:00 至 11:30
地点
A3-2-102
线上
Zoom 712 322 9571
(BIMSA)
摘要
In this talk, I will introduce a 3d topological-holomorphic integrable field theory based on the structure of strict Lie 2-groups. Its higher currents and the geometric properties of their holonomies will be analyzed, which exhibit direct analogues of those in the 2d Wess-Zumino-Witten model. Then, I will introduce a higher homotopy generalization of the Kac-Moody algebra, and demonstrate that it underpins not only the global symmetries of our specific 3d model, but also the theory of higher Lax integrability in general. At the end, I will observe that this model seem to be intimately related to both the raviolo VOAs of Garner-Williams and the lasagna modules of Manolescu-Walker-Wedrich, and hence could be used to produce higher-skein 4d invariants from higher quantum algebras.
This talk is based on my recent works arXiv:2405.18625, arXiv:2307.03831.
This talk is based on my recent works arXiv:2405.18625, arXiv:2307.03831.