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Aspects of the map from Exact RG to Holographic RG in AdS and dS

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arxiv 2301.13605 v1 pith:VHHXLNH5 submitted 2023-01-31 hep-th

classification hep-th
keywords equationaspectsexactmappedsimpleunderstandinganalyticcontinuation
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In earlier work the evolution operator for the exact RG equation was mapped to a field theory in Euclidean AdS. This gives a simple way of understanding AdS/CFT. We explore aspects of this map by studying a simple example of a Schroedinger equation for a free particle with time dependent mass. This is an analytic continuation of an ERG like equation. We show for instance that it can be mapped to a harmonic oscillator. We show that the same techniques can lead to an understanding of dS/CFT too.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. $SO(1, d + 1)$ symmetry of the Exact RG equation

    hep-th 2026-01 conditional novelty 6.0 of 10

    The ERG evolution operator is SO(1,d+1)-invariant for any admissible cutoff, with cutoff-dependent conformal generators that reduce to standard AdS isometries for the special AdS-mapping cutoff.

  2. Yang-Mills interaction from boundary vector model

    hep-th 2025-04 conditional novelty 6.0 of 10

    The ERG flow of the USp(2N) singlet sector of a free 3D U(2N) scalar theory yields a bulk AdS4 cubic action that is on-shell equivalent to Yang-Mills plus a field-strength-cubed term.

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