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arXiv · 1610.05814

Bootstrapping Pure Quantum Gravity in AdS3

Jin-Beom Bae·Kimyeong Lee·Sungjay Lee
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Abstract

The three-dimensional pure quantum gravity with negative cosmological constant is supposed to be dual to the extremal conformal field theory of central charge $c=24k$ in two dimensions. We employ the conformal bootstrap method to analyze the extremal CFTs, and find numerical evidence for the non-existence of the extremal CFTs for sufficiently large central charge ($k \ge 20$). We also explore near-extremal CFTs, a small modification of extremal ones, and find similar evidence for their non-existence for large central charge. This indicates, under the assumption of holomorphic factorization, the pure gravity in the weakly curved AdS$_3$ do not exist as a consistent quantum theory.

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Jin-Beom Bae, Kimyeong Lee, Sungjay Lee. 2016-10-18. Bootstrapping Pure Quantum Gravity in AdS3. https://arxiv.org/abs/1610.05814

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