arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1802.09561gr-qchep-thmath-phmath.MP
收藏

用Cartan几何构造显式AdS/CFT Correspondence

Constructing an Explicit AdS/CFT Correspondence with Cartan Geometry

Jeffrey S Hazboun

备注：
13 pages, 1 Table
发表信息：
Published in Nuclear Physics B, Volume 929, April 2018, Pages 254-265
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

一个明确的AdS/CFT对应李群$SO(4,2)$。李对称结构允许通过嘉当几何的工具来构建两个物理理论。一个是具有反德西特对称性的引力理论。另一个也是引力理论，但共形对称，生活在8维双共形空间。这些“额外”的四维空间具有用于构建杨-米尔斯理论的自由度。这两个理论，基于AdS或共形对称，有一个自然的对应关系，在他们的李代数单独的背景下，既不是超对称，也不是全息，是必要的。

英文摘要：

An explicit AdS/CFT correspondence is shown for the Lie group $SO(4,2)$. The Lie symmetry structures allow for the construction of two physical theories through the tools of Cartan geometry. One is a gravitational theory that has anti-de Sitter symmetry. The other is also a gravitational theory but is conformally symmetric and lives on 8-dimensional biconformal space. These "extra" four dimensions have the degrees of freedom used to construct a Yang-Mills theory. The two theories, based on AdS or conformal symmetry, have a natural correspondence in the context of their Lie algebras alone where neither SUSY, nor holography, is necessary.

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。

↑