Four dimensional topological quantum field theory, Hopf categories, and the canonical bases
Louis Crane, Igor B. Frenkel
TL;DR
This paper introduces a novel approach to constructing four-dimensional topological quantum field theories using Hopf categories, which are algebraic structures related to quantum groups and canonical bases.
Contribution
It proposes a new method for 4D-TQFT construction based on Hopf categories and outlines their relation to quantum groups and canonical bases.
Findings
New framework for 4D-TQFTs using Hopf categories
Construction of Hopf categories related to quantum groups
Connection between Hopf categories and canonical bases
Abstract
We propose a new mwthod of constructing 4D-TQFTs. The method uses a new type of algebraic structure called a Hopf Category. We also outline the construction of a family of Hopf categories related to the quantum groups, using the canonical bases.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.