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.

引用

页数：51

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