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The $g$-theorem from Strong Subadditivity

High Energy Physics - Theory 2024-04-02 v1 Statistical Mechanics Quantum Physics

Abstract

We show that strong subadditivity provides a simple derivation of the gg-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 gg-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.

Keywords

Cite

@article{arxiv.2403.19934,
  title  = {The $g$-theorem from Strong Subadditivity},
  author = {Jonathan Harper and Hiroki Kanda and Tadashi Takayanagi and Kenya Tasuki},
  journal= {arXiv preprint arXiv:2403.19934},
  year   = {2024}
}

Comments

7 pages, 6 figures

R2 v1 2026-06-28T15:37:55.829Z