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arXiv · 2110.03197

Holography in de Sitter Space via Chern-Simons Gauge Theory

Yasuaki Hikida·Tatsuma Nishioka·Tadashi Takayanagi·Yusuke Taki
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Abstract

In this paper we propose a holographic duality for classical gravity on a three-dimensional de Sitter space. We first show that a pair of SU$(2)$ Chern-Simons gauge theories reproduces the classical partition function of Einstein gravity on a Euclidean de Sitter space, namely $\mathbb{S}^3$, when we take the limit where the level $k$ approaches $-2$. This implies that the CFT dual of gravity on a de Sitter space at the leading semi-classical order is given by an SU$(2)$ Wess-Zumino-Witten (WZW) model in the large central charge limit $k\to -2$. We give another evidence for this in the light of known holography for coset CFTs. We also present a higher spin gravity extension of our duality.

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Yasuaki Hikida, Tatsuma Nishioka, Tadashi Takayanagi, Yusuke Taki. 2021-10-07. Holography in de Sitter Space via Chern-Simons Gauge Theory. https://doi.org/10.1103/physrevlett.129.041601

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