Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.
Generalized free fields and the AdS-CFT correspondence
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abstract
Motivated by structural issues in the AdS-CFT correspondence, the theory of generalized free fields is reconsidered. A stress-energy tensor for the generalized free field is constructed as a limit of Wightman fields. Although this limit is singular, it fulfils the requirements of a conserved local density for the Poincar'e generators. An explicit "holographic" formula relating the Klein-Gordon field on AdS to generalized free fields on Minkowski space-time is provided, and contrasted with the "algebraic" notion of holography. A simple relation between the singular stress-energy tensor and the canonical AdS stress-energy tensor is exhibited.
fields
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A semi-holographic model couples a fermion to a holographic composite sector, yielding poles-zeros duality in the Green's function that distinguishes metallic and Mott-insulating phases through choice of quantization.
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Searching for emergent spacetime in spin glasses
Spectral functions of SYK, p-spin, and SU(M) Heisenberg models show exponential tails in spin-glass phases and quasiparticle families in spin-liquid phases, with a proof that exponential decay blocks detection of bulk causal structure.
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Poles-zeros duality in semi-holographic Mott insulators
A semi-holographic model couples a fermion to a holographic composite sector, yielding poles-zeros duality in the Green's function that distinguishes metallic and Mott-insulating phases through choice of quantization.