5-dimensional Chern-Simons gauge theory on an interval: Massive spin-2 theory from symmetry breaking via boundary conditions,Physics Letters B

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5-dimensional Chern-Simons gauge theory on an interval: Massive spin-2 theory from symmetry breaking via boundary conditions
Physics Letters B ( IF 4.4 ) Pub Date : 2020-11-01 , DOI: 10.1016/j.physletb.2020.135841
Mahdi Torabian

In this note, we revisit the 4-dimensional theory of massive gravity through compactification of an extra dimension and geometric symmetry breaking. We dimensionally reduce the 5-dimensional topological Chern-Simons gauge theory of (anti) de Sitter group on an interval. We apply non-trivial boundary conditions at the endpoints to break all of the gauge symmetries. We identify different components of the gauge connection as invertible vierbein and spin-connection to interpret it as a gravitational theory. The effective field theory in four dimensions includes the dRGT potential terms and has a tower of Kaluza-Klein states without massless graviton in the spectrum. The UV cut of the theory is the Planck scale of the 5-dimensional gravity $l^{-1}$. If $\zeta$ is the scale of symmetry breaking and $L$ is the length of the interval, then the masses of the lightest graviton $m$ and the level $n$ (for $n

中文翻译：

区间上的 5 维陈 - 西蒙斯规范理论：大规模自旋 2 理论从对称性突破到边界条件

在这篇笔记中，我们通过额外维度的紧致化和几何对称性破坏来重新审视大质量引力的 4 维理论。我们在一个区间上对（反）德西特群的 5 维拓扑陈-西蒙斯规范理论进行量纲化。我们在端点应用非平凡边界条件来打破所有规范对称性。我们将规范连接的不同组成部分识别为可逆维尔本和自旋连接，以将其解释为引力理论。四个维度的有效场论包括 dRGT 势项，并且在光谱中有一个没有无质量引力子的 Kaluza-Klein 状态塔。该理论的UV cut是5维引力$l^{-1}$的普朗克标度。如果 $\zeta$ 是对称破缺的尺度，$L$ 是间隔的长度，

更新日期：2020-11-01

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