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math-ph2023
Integrability from categorification and the 2-Kac-Moody Algebra
Hank Chen, Florian Girelli
The theory of Lie bialgebras and the classical Yang-Baxter equation plays a major role in the study of 1+1d integrable systems; many families of integrable systems can be recovered…
cond-mat.str-el2023
2-Drinfel'd double symmetry of the 4d Kitaev model
Hank Chen
Following the general theory of categorified quantum groups developed by the author previously (arxiv:2304.07398), we construct the 2-Drinfel'd double associated to a finite group…
math.QA2023
Hopf 2-algebras and Braided Monoidal 2-Categories
Hank Chen, Florian Girelli
Following the theory of principal -bundles of Niklaus-Schreiber-Steveson, we develop a homotopy categorification of Hopf algebras, which model quantum groups. We study thei…