Half-Wormholes in a Supersymmetric SYK Model

TL;DR

This paper explores half-wormhole effects in a supersymmetric SYK model with a single time point, showing they restore factorization and break supersymmetry, extending understanding of non-averaged quantum gravity models.

Contribution

It identifies and analyzes half-wormhole contributions in a supersymmetric SYK model, demonstrating their role in restoring factorization and breaking supersymmetry.

Findings

Half-wormholes restore factorization in the supersymmetric SYK model.

Both wormholes and half-wormholes break supersymmetry.

The study extends non-averaged quantum gravity insights to supersymmetric contexts.

Abstract

We identify half-wormhole contributions to the non averaged $\mathscr{N} =1$ supersymmetric SYK model in which time has been reduced to a point. As in previously studied examples, the inclusion of half-wormholes restores factorisation in the large $N$ limit. Wormholes as well as half-wormholes break supersymmetry.