Trisections in colored tensor models

被引：2

作者：

Martini, Riccardo ^{[1
]}

Toriumi, Reiko ^{[1
]}

机构：

[1] Grad Univ, Okinawa Inst Sci & Technol, 1919-1 Tancha, Onna, Okinawa 9040495, Japan

来源：

ANNALES DE L INSTITUT HENRI POINCARE D | 2024年 / 11卷 / 03期

关键词：

Trisections; tensor models; discrete topology; PL; piecewise linear topology; graph theory; colored graphs; graph encoding manifolds; LIOUVILLE QUANTUM-GRAVITY; COMPLETE 1/N EXPANSION; LARGE D LIMIT; CRITICAL-BEHAVIOR; BROWNIAN MAP; RENORMALIZATION;

D O I：

10.4171/AIHPD/167

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We give a procedure to construct trisections for closed manifolds generated by colored tensor models without restrictions on the number of simplices in the triangulation, therefore generalizing previous works in the context of crystallizations and PL-manifolds. We give a description of how trisection diagrams can arise from colored tensor model graphs for closed 4-manifolds. We further speculate on generalization of similar constructions for a class of singular-manifolds generated by simplicial colored tensor models.

引用

页码：453 / 502

页数：50

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