Strings and missing wormhole entanglement

TL;DR

This paper explores how string theory's unique geometric features, such as winding modes, influence holographic entanglement entropy calculations in wormhole geometries, revealing a net entanglement flow towards stringy structures.

Contribution

It demonstrates how string-specific geometric structures modify entanglement entropy calculations in wormhole spacetimes, extending the Ryu-Takayanagi formula to include winding modes.

Findings

Wormhole geometries yield expected entanglement magnitudes in holographic calculations.

String winding modes alter the standard entanglement entropy area law.

Entanglement flow towards stringy geometry is identified as a key process.

Abstract

I show that holographic calculations of entanglement entropy in the context of AdS bulk space modified by wormhole geometries provide the expected entanglement magnitude. This arises in the context of string theory by means of additional geometric structure that is seen by the string in its bulk evolution. The process can be described as a net entanglement flow towards stringy geometry. I make use of the fact that as opposed to quantum field theory, strings have additional winding mode states around small extra dimensions which modify the area computation given by the standard application of the Ryu-Takayanagi entanglement entropy formula.