Higher spin wormholes from modular bootstrap

TL;DR

This paper explores higher spin wormholes in AdS$_3$/CFT$_2$, revealing unique spectral features that challenge traditional ensemble interpretations through modular bootstrap techniques.

Contribution

It introduces a novel analysis of higher spin wormholes using modular bootstrap, uncovering non-standard spectral properties in the dual CFT$_2$.

Findings

Power-law ramps in spectral form factors.

Double-well potentials in level statistics.

Features beyond conventional random matrix ensembles.

Abstract

We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS$_3$/CFT$_2$. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition function of a Euclidean wormhole in AdS$_3$ higher spin gravity. The fixed spin sectors of the dual CFT$_2$ exhibit features that starkly go beyond conventional random matrix ensembles: power-law ramps in the spectral form factor and potentials with a double-well/crest underlying the level statistics.