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The $g$-theorem from Strong Subadditivity

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arxiv 2403.19934 v1 pith:3JS2OELJ submitted 2024-03-29 hep-th cond-mat.stat-mechquant-ph

Jonathan Harper , Hiroki Kanda , Tadashi Takayanagi , Kenya Tasuki This is my paper · ORCID
classification hep-thcond-mat.stat-mechquant-ph
keywords conformalfieldstrongsubadditivitytheoremtheoriesderivationholographic
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abstract

We show that strong subadditivity provides a simple derivation of the $g$-theorem for the boundary renormalization group flow in two-dimensional conformal field theories. We work out its holographic interpretation and also give a derivation of the $g$-theorem for the case of an interface in two-dimensional conformal field theories. We also geometrically confirm strong subadditivity for holographic duals of conformal field theories on manifolds with boundaries.

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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. Exact g-function without strings

    hep-th 2024-12 conditional novelty 7.0 of 10

    The exact g-function of sine-Gordon theory with non-diagonal scattering is computed for the first time using lattice regularization and Bethe ansatz.

  2. Brane Cosmology from AdS/BCFT

    hep-th 2025-01 conditional novelty 6.0 of 10

    In an AdS/BCFT model with a brane-localized scalar, the authors derive a real-conformal-dimension constraint for dS/CFT, a time-like g-theorem, and a classification of constant-potential brane cosmologies including bi...

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