arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1806.04666gr-qchep-th
收藏

具有自对偶变量的非对易引力

Noncommutative gravity with self-dual variables

Marco de Cesare, Mairi Sakellariadou, Patrizia Vitale

备注：
52 pages; v2: added references, corrected minor typos; matches published version
发表信息：
Class. Quantum Grav. 35 (2018) 215009
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

我们建立了一个非对易扩展的Palatini-Holst理论扭曲变形的时空，推广了一个模型，已经提出了由Aestheri和Castellani。扭曲变形导致规范群的扩大，并导致引入新的引力自由度。特别是，四分体的自由度必须加倍，从而导致引力的双四分体理论。该模型表现出新的对偶对称性。霍尔斯特项的引入导致动力学的显著简化，当Barbero-Immirzi参数取值$β=-i$时，这与自对偶作用相对应。我们详细研究了该模型的交换极限，特别关注扭转和非度量的作用。时空非对易性的影响考虑到微扰，并计算明确在一个简单的例子。与双度量理论的连接和局部共形不变性在交换极限中的作用也进行了探讨。

英文摘要：

We build a noncommutative extension of Palatini-Holst theory on a twist-deformed spacetime, generalizing a model that has been previously proposed by Aschieri and Castellani. The twist deformation entails an enlargement of the gauge group, and leads to the introduction of new gravitational degrees of freedom. In particular, the tetrad degrees of freedom must be doubled, thus leading to a bitetrad theory of gravity. The model is shown to exhibit new duality symmetries. The introduction of the Holst term leads to a dramatic simplification of the dynamics, which is achieved when the Barbero-Immirzi parameter takes the value $β=-i$, corresponding to a self-dual action. We study in detail the commutative limit of the model, focusing in particular on the role of torsion and non-metricity. The effects of spacetime noncommutativity are taken into account perturbatively, and are computed explicitly in a simple example. Connections with bimetric theories and the role of local conformal invariance in the commutative limit are also explored.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

↑