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g Theorem from Strong Subadditivity.

Jonathan Harper1, Hiroki Kanda1, Tadashi Takayanagi1,2

  • 1Center for Gravitational Physics and Quantum Information, Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa Oiwakecho, Sakyo-ku, Kyoto 606-8502, Japan.

Physical Review Letters
|August 2, 2024
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Summary
This summary is machine-generated.

Strong subadditivity simplifies derivations of the g theorem in 2D conformal field theories. This principle is confirmed for boundary and interface renormalization group flows, with holographic interpretations explored.

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Area of Science:

  • Theoretical Physics
  • Quantum Field Theory
  • String Theory

Background:

  • The g theorem is crucial for understanding renormalization group flow in 2D conformal field theories.
  • Boundary and interface effects introduce complexities in these systems.
  • Holographic duality offers a powerful lens to study quantum field theories.

Purpose of the Study:

  • To demonstrate how strong subadditivity simplifies the derivation of the g theorem.
  • To explore the holographic interpretation of the g theorem.
  • To derive the g theorem for interfaces and confirm strong subadditivity holographically.

Main Methods:

  • Utilizing the principle of strong subadditivity.
  • Applying renormalization group flow techniques in 2D conformal field theories.
  • Employing holographic duality to analyze boundary and interface phenomena.

Main Results:

  • A simplified derivation of the g theorem for boundary renormalization group flow.
  • A holographic interpretation of the g theorem is established.
  • The g theorem is derived for interfaces, and strong subadditivity is geometrically confirmed for holographic duals.

Conclusions:

  • Strong subadditivity offers an elegant approach to the g theorem in 2D CFTs.
  • The study provides a unified framework for understanding boundary and interface phenomena via holography.
  • Geometric confirmation strengthens the validity of strong subadditivity in holographic contexts.