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IKKT矩阵模型中的量子时空与引力:导论

Quantum spacetime and gravity from the IKKT matrix model: an invitation

Harold C. Steinacker

arXiv 2609.08955首次发表:更新:

发表机构

University of Vienna(维也纳大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

本文简明介绍基于IKKT矩阵模型的时空与引力框架,以非交换矩阵背景为时空,通过FLRW解和微扰给出规范场及量子引力描述,强调最大超对称性确保局域性。

AI 中文摘要

本文对基于IKKT矩阵模型的时空、引力和基础物理框架进行了简明扼要的介绍,重点聚焦于概念和结构层面。该方法依赖于非平凡真空或矩阵背景,这些背景充当3+1维非交换时空。我们讨论了一类描述膨胀的均匀各向同性FLRW时空的特定背景,这类背景提供了一环有效作用量的解,且每个体积具有有限数量的自由度。背景的微扰产生了在时空中传播的场,这些场由弱耦合规范理论支配,同时也提供了一种非标准的(量子)引力描述,导致了一些红外修正。模型的最大超对称性对于确保有效局域性至关重要。

英文摘要

This is a concise and compact introduction to a framework for spacetime, gravity, and fundamental physics based on the IKKT matrix model, focusing on conceptual and structural aspects. The approach rests on nontrivial vacua or matrix backgrounds, which serve as 3+1-dimensional noncommutative spacetime. We discuss a specific class of backgrounds describing expanding homogeneous and isotropic FLRW spacetime, which provide a solution of the one-loop effective action with finitely many dof per volume. Perturbations of the background give rise to fields propagating on spacetime governed by a weakly-coupled gauge theory, as well as a nonstandard description of (quantum) gravity leading to some IR modifications. Maximal supersymmetry of the model is essential to ensure effective locality.

Comments30+6 pages, 1 figure

论文原文

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