Diagnostic Tomography of Applied Holography

• URL: http://arxiv.org/abs/2310.02991v2
• Date: Thu, 12 Oct 2023 00:32:05 GMT
• Title: Diagnostic Tomography of Applied Holography
• Authors: D.V.Khveshchenko
• Abstract summary: The single-particle behavior in $dgeq 1$-dimensional Fermi gases with a large number $N$ of species and strong short-range $s$-wave scattering is discussed. This formal correspondence neither represents a genuine case, nor endorses the hypothetical holographic duality.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: The single-particle behavior in $d\geq 1$-dimensional Fermi gases with a large number $N$ of species and strong short-range $s$-wave scattering is discussed in the $2d$ 'tomographic' framework of a (pseudo)holographic correspondence with a certain $3d$ gravity of the $AdS_3$ type. However, due to the intrinsically topological nature of such a bulk theory its dynamics reduces to a purely boundary one and so, akin to its $SYK/AdS_2$ counterpart, this formal correspondence neither represents a genuine case of, nor endorses the hypothetical generalized holographic duality.

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