The boundary dual of the bulk symplectic form

DOI10.1016/J.PHYSLETB.2018.10.071zbMATH Open1406.81044arXiv1806.10144OpenAlexW2810123767MaRDI QIDQ1716695

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Publication date: 5 February 2019

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Abstract: In this paper, we study the overlaps of wavefunctionals prepared by turning on sources in the Euclidean path integral. For nearby states, these overlaps give rise to a Kahler structure on the space of sources, which is naturally induced by the Fubini-Study metric. The Kahler form obtained this way can also be thought of as a Berry curvature and, for holographic field theories, we show that it is identical to the gravitational symplectic form in the bulk. We discuss some possible applications of this observation, in particular a boundary prescription to calculate the variation of the volume of a maximal slice.

Full work available at URL: https://arxiv.org/abs/1806.10144

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