The Evaluation of Graphs on Surfaces for State-Sum Models with Defects

被引：0
|
作者：
Farnsteiner, Julian [1 ]
Schweigert, Christoph [1 ]
机构：
[1] Univ Hamburg, Bereich Algebra & Zahlentheorie, Fachbereich Math, Bundesstr 55, D-20146 Hamburg, Germany
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2024年 / 20卷
关键词：
state-sum; vertex evaluation; topological quantum field theory; 6j symbols; defects; CATEGORIES;
D O I：
10.3842/SIGMA.2024.102
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The evaluation of graphs on 2-spheres is a central ingredient of the Turaev-Viro construction of three-dimensional topological field theories. In this article, we introduce a class of graphs, called extruded graphs, that is relevant for the Turaev-Viro construction with general defect configurations involving defects of various dimensions. We define the evaluation of extruded graphs and show that it is invariant under a set of moves. This ensures the computability and uniqueness of our evaluation.
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页数：51
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