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Q-curvature and path integral complexity

Camargo, H.A. and Caputa, P. and Nandy, P. (2022) Q-curvature and path integral complexity. In: Journal of High Energy Physics, 2022 (4).

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Official URL: https://doi.org/10.1007/JHEP04(2022)081


We discuss the interpretation of path integral optimization as a uniformization problem in even dimensions. This perspective allows for a systematical construction of the higher-dimensional path integral complexity in holographic conformal field theories in terms of Q-curvature actions. We explore the properties and consequences of these actions from the perspective of the optimization programme, tensor networks and penalty factors. Moreover, in the context of recently proposed holographic path integral optimization, we consider higher curvature contributions on the Hartle-Hawking bulk slice and study their impact on the optimization as well as their relation to Q-curvature actions and finite cut-off holography. © 2022, The Author(s).

Item Type: Journal Article
Publication: Journal of High Energy Physics
Publisher: Springer Science and Business Media Deutschland GmbH
Additional Information: The Copyright of this article belongs to the Authors.
Department/Centre: Division of Physical & Mathematical Sciences > Centre for High Energy Physics
Date Deposited: 19 May 2022 09:22
Last Modified: 19 May 2022 09:22
URI: https://eprints.iisc.ac.in/id/eprint/71939

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