BF理论的范畴化推广与引力耦合
高能物理 - 理论
2025-05-16 v2 数学物理
范畴论
微分几何
math.MP
摘要
我们介绍了用于构建基于2-连接的规范理论所必需的范畴论工具。我们详细构建了BF理论的范畴化推广，称为BFCG，也称为2BF。类似于BF引力，BFCG可被变形以给出通用相对论。我们获得了BFCG与引力之间的另一种关系，将通用相对论与BFCG通过由BFCG连接构成的体积形式进行耦合。 resulting theory, closely related to unimodular gravity, is a generalization of BF sequestered gravity not only in the sense that it adds new fields but also in that it allows for new choices for the volume form that is coupled to gravity. Furthermore, we show that BF sequestered gravity in the abelian case is recovered for a specific choice of the 2-group.
引用
@article{arxiv.2408.02889,
title = {Categorical generalization of BF theory coupled to gravity},
author = {A. D. López-Hernández and Graciela Reyes-Ahumada and Javier Chagoya},
journal= {arXiv preprint arXiv:2408.02889},
year = {2025}
}
备注
published version with added references, minor corrections and improvements