Holographic Network and Traversable Parallel Universe

TL;DR

This paper explores a holographic network model connecting multiple CFTs via Gauss-Bonnet gravity, establishing conservation laws, analyzing stability, and proposing a framework for traversable parallel universes that satisfy energy conditions.

Contribution

It introduces a novel holographic network framework with junction conditions, stability analysis, and entropy properties, providing a new perspective on traversable parallel universes within AdS/NCFT.

Findings

Holographic Noether's theorem leads to conservation laws at network nodes.

Type I and II network entropies obey the holographic g-theorem.

The model describes traversable parallel universes satisfying energy conditions.

Abstract

This paper investigates the holographic network connecting different CFTs, modeled by Gauss-Bonnet gravity with varying couplings across different bulk branches. By applying the holographic Noether's theorem, we prove that the junction condition on the Net-brane leads to conservation laws at network nodes. We analyze the stability of the gravitational KK modes on the Net-brane and derive the constraints on theory parameters. Additionally, we discuss various proposals for network entropy, confirm that the type I and II network entropies obey the holographic g-theorem, and show that the type III network entropy is non-negative. We explore the two-point functions of various NCFTs at different edges, using examples like free scalars and the AdS/NCFT with a tensionless brane. We then examine the gravitational dual of compact networks, which feature both EOW branes and Net-branes in the bulk. We derive the joint condition for EOW branes at the Net-brane and analyze vacuum solutions in AdS$_3$/NCFT$_2$. Finally, we demonstrate that AdS/NCFT provides a natural way to envision traversable parallel universes that have different geometries and physical laws. Remarkably, unlike traversable wormholes, our model of parallel universes satisfies all the energy conditions.