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arXiv · 2308.04354

Bulk Action Growth for Holographic Complexity

Martin Krššák
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Abstract

The action growth proposal relates the holographic complexity to the value of the action on the Wheeler-de Witt patch. We introduce a new method of calculating the gravitational action using the "bulk" term, i.e. the part of the Einstein-Hilbert action quadratic in connection coefficients. We demonstrate how to address the issue of non-covariance of the bulk action and evaluate it using the tetrad formalism. Due to the boundary term-free nature of the bulk action, we can gain further insights into the spatial structure of the action on the Wheeler-de Witt patch. We then argue that our entire scheme can be naturally covariantized within the framework of teleparallel geometry.

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Martin Krššák. 2023-08-08. Bulk Action Growth for Holographic Complexity. https://doi.org/10.1103/physrevd.109.086002

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