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Is volume the holographic dual of fidelity susceptibility?
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Is volume the holographic dual of fidelity susceptibility?
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It was proposed by Miyaji et al. that the fidelity susceptibility of a state of a conformal field theory under a marginal deformation is holographically dual to the volume of a maximal time slice in the dual Anti de Sitter spacetime. We study this proposal by analyzing the leading and subleading divergences in these two quantities in two specific scenarios. We find that although the structure of the divergences in these two quantities is similar, their numerical coefficients are inconsistent with an exact relationship between these two quantities.
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Cited by 1 Pith paper
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Quantum Fisher information of the Klein--Gordon, $\phi^4$, and Dirac vacua
Vacuum quantum Fisher information versus mass scales as m^{d-2} for free Klein–Gordon fields, diverges or shrinks under ϕ⁴ interactions, and is UV-divergent or zero for free Dirac fields depending on dimension.
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