量子引力Turaev-Viro模型的完整观测

IF 1 4区物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS

Astronomische Nachrichten Pub Date : 2025-02-05 DOI:10.1002/asna.20250010

V. M. G. Silveira, D. Hadjimichef, E. G. S. Luna, César A. Zen Vasconcellos

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引用次数: 0

摘要

本文提出了具有正宇宙常数的三维环量子引力模型Turaev-Viro模型的完整观测值的研究建议。本文回顾了环量子引力和离散规范理论的绝对形式化的核心方面，旨在将Turaev-Viro模型放在更一般的环境中，从而澄清了Hopf代数sl q(2)的作用。在其结构中（$$ {\mathfrak{sl}}_q\left(2,\mathrm{\mathbb{C}}\right) $$）。本文给出了Turaev-Viro模型的自旋观测值和Ponzano-Regge模型的完整观测值的关键结果，为建立Turaev-Viro模型的完整观测值理论做出了努力。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Holonomy Observables for the Turaev–Viro Model of Quantum Gravity

This paper presents a proposal for the study of holonomy observables for the Turaev–Viro model, a model of three-dimensional Loop Quantum Gravity with a positive cosmological constant. A review of central aspects of Loop Quantum Gravity and of a categorical formalism for discrete gauge theories is presented with the intent to contextualize the Turaev–Viro model within a more general setting, which clarifies the role of the Hopf algebra ${sl}_{q} (2, ℂ)$ in its construction. The key results on spin observables for the Turaev–Viro model and on holonomy observables for the Ponzano–Regge model are presented as an effort to develop a theory of holonomy observables for the Turaev–Viro model.

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来源期刊

Astronomische Nachrichten 地学天文-天文与天体物理

CiteScore

1.80

自引率

11.10%

发文量

审稿时长

4-8 weeks

期刊介绍： Astronomische Nachrichten, founded in 1821 by H. C. Schumacher, is the oldest astronomical journal worldwide still being published. Famous astronomical discoveries and important papers on astronomy and astrophysics published in more than 300 volumes of the journal give an outstanding representation of the progress of astronomical research over the last 180 years. Today, Astronomical Notes/ Astronomische Nachrichten publishes articles in the field of observational and theoretical astrophysics and related topics in solar-system and solar physics. Additional, papers on astronomical instrumentation ground-based and space-based as well as papers about numerical astrophysical techniques and supercomputer modelling are covered. Papers can be completed by short video sequences in the electronic version. Astronomical Notes/ Astronomische Nachrichten also publishes special issues of meeting proceedings.