Abstract
We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS3/CFT2. Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition function of a Euclidean wormhole in AdS3 higher spin gravity. The fixed spin sectors of the dual CFT2 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.
Highlights
Been developed which demonstrate that pure AdS3 gravity shares common features with random matrix theory (RMT) and perturbative U(1)D × U(1)D Chern-Simons (CS) theory is dual to a theory of D free bosons averaged over Narain moduli [7,8,9,10,11,12,13]
We investigate the connection between spacetime wormholes and ensemble averaging in the context of higher spin AdS3/CFT2
Using techniques from modular bootstrap combined with some holographic inputs, we evaluate the partition function of a Euclidean wormhole in AdS3 higher spin gravity
Summary
In the context of AdS3/CFT2, Euclidean wormholes have been studied for the pure gravity case in [18, 26]. The bulk topology of the 3d Euclidean wormhole is T2 × I, see figure 1. The two boundaries of the wormhole are given by two distinct tori, that are connected via the bulk geometry. It has been realized that the wormhole amplitude can be bootstrapped by imposing modular constraints arising from the boundary tori. In this method, it is not just modular invariance alone that fixes the amplitude. Other essential inputs — like smoothness, topological considerations, boundary orientation and charge conservation — have bulk origins and play a key role in determining the partition function
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