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arXiv · 1611.04189

Emergent gravity from Eguchi-Kawai reduction

Edgar Shaghoulian
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Abstract

Holographic theories with a local gravitational dual have a number of striking features. Here I argue that many of these features are controlled by the Eguchi-Kawai mechanism, which is proposed to be a hallmark of such holographic theories. Higher-spin holographic duality is presented as a failure of the Eguchi-Kawai mechanism, and its restoration illustrates the deformation of higher-spin theory into a proper string theory with a local gravitational limit. AdS/CFT is used to provide a calculable extension of the Eguchi-Kawai mechanism to field theories on curved manifolds and thereby introduce "topological volume independence." Finally, I discuss implications for a general understanding of the extensivity of the Bekenstein-Hawking-Wald entropy.

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Edgar Shaghoulian. 2016-12-16. Emergent gravity from Eguchi-Kawai reduction. https://doi.org/10.1007/jhep03(2017)011

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