Entanglement entropy in Jackiw-Teitelboim Gravity

TL;DR

This paper demonstrates that the entropy of an $AdS_2$ wormhole in Jackiw-Teitelboim gravity is an entanglement edge term linked to gauge group measures, providing insights into what the entropy quantifies.

Contribution

It reveals the entanglement edge term interpretation of black hole entropy in $AdS_2$ wormholes within the $SL(2)$ gauge theory framework of JT gravity.

Findings

Black hole entropy is an entanglement edge term.

Entropy relates to a natural measure on the gauge group.

Provides interpretation of what the entropy counts.

Abstract

I show that the black hole entropy associated to an $AdS_2$ wormhole is an entanglement edge term related to a natural measure on the gauge group in the $SL(2)$ gauge theory formulation of $1+1d$ Jackiw-Teitelboim gravity. I comment on what the entropy appears to be counting.