TL;DR
This paper introduces a holonomy-based formulation for spin foams, analyzing key properties like locality, composition, and consistency, and demonstrates how cylindrical consistency determines vertex amplitude normalization in Euclidean signature.
Contribution
It presents a novel holonomy formulation for spin foams and clarifies how cylindrical consistency constrains vertex amplitude normalization.
Findings
Cylindrical consistency fixes vertex amplitude normalization in Euclidean signature.
The holonomy formulation provides a new perspective on spin foam structure.
Analysis of locality and composition laws enhances understanding of spin foam models.
Abstract
The central object of this paper is a holonomy formulation for spin foams. Within this new represen- tation, we analyze three general requirements: locality, composition law, cylindrical consistency. In particular, cylindrical consistency is shown to fix the arbitrary normalization of the vertex amplitude in the case of Euclidean signature.
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.