Diagnostic Tomography of Applied Holography

D.V.Khveshchenko

Diagnostic Tomography of Applied Holography

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arxiv 2310.02991 v2 pith:J7RZZV5F submitted 2023-10-04 cond-mat.str-el hep-thquant-ph

Diagnostic Tomography of Applied Holography

D.V.Khveshchenko This is my paper

classification cond-mat.str-el hep-thquant-ph

keywords correspondenceholographicakinappliedbehaviorboundarybulkcase

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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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Migdal-Eliashberg and SUS-$Y^2$-SYK
cond-mat.str-el 2026-05 unverdicted novelty 2.0

This note assesses the Migdal-Eliashberg approximation in the Schwinger-Dyson gap equation against variants of the Yukawa-SYK model and comments on pseudo-holographic aspects of fermion pairing.