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Higher spin wormholes from modular bootstrap

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arxiv 2106.03889 v2 pith:ZGM5P4M5 submitted 2021-06-07 hep-th

classification hep-th
keywords spinhigherbootstrapmodularwormholesaveragingbeyondcombined
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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