A Holographic Holographic Bound and the Black Hole S-Matrix

TL;DR

This paper derives a holographic bound within the gauge/gravity duality framework, linking boundary observables to bulk physics, and verifies its consistency with the black hole S-matrix in AdS/CFT.

Contribution

It introduces a new holographic bound based on boundary CFT observables and demonstrates its consistency with black hole S-matrix calculations in AdS/CFT.

Findings

Derived a holographic bound from boundary CFT observables.

Verified the bound's consistency with the black hole S-matrix.

Connected gravitational arguments with gauge theory insights.

Abstract

Holographic bounds have been derived using explicitly gravitational arguments. Motivated by explicit constructions of bulk wavepackets from observables in the boundary CFT, we derive a holographic bound in the context of the gauge/gravity correspondence within the dual field theory. We verify the consistency of the bound with the program of determining the Black Hole S-Matrix from the AdS/CFT correspondence.