Algebraic traversable wormholes

Abstract

We propose a new large $N$ limit which at the extreme ($N=\infty$) limit is dual in the bulk to a back-reacted traversable wormhole, by making use of an operator in the algebra at infinity, an algebra familiar in the literature from the study of quasi-local algebras. We also compute, from a purely algebraic perspective, the effects registered by a left universe observer due to a unitary fluctuation on the right universe of the traversable wormhole, and reproduce a result from an earlier computation by Maldacena, Stanford and Yang \cite{Maldacena:2017axo}.

32 pages (including appendix), 3 figures, Typos corrected, several clarifying points and comments on the Hilbert space added