arXiv : Higher spin wormholes from modular bootstrap

Das, Diptarka; Datta, Shouvik

doi:10.1007/JHEP10(2021)010

Article
Report number	arXiv:2106.03889 ; CERN-TH-2021-085
Title	Higher spin wormholes from modular bootstrap
Author(s)	Das, Diptarka (Indian Inst. Tech., Kanpur) ; Datta, Shouvik (CERN)
Publication	2021-10-01
Imprint	2021-06-07
Number of pages	31
Note	31 pages, 2 figures, matches published version
In:	JHEP 2021 (2020) 010
DOI	10.1007/JHEP10(2021)010 (publication)
Subject category	Particle Physics - Theory
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.
Copyright/License	preprint: (License: arXiv nonexclusive-distrib 1.0) publication: © 2021-2025 The Authors (License: CC-BY-4.0)

$The topology of the Euclidean wormhole is that of torus$\times$interval, or equivalently annulus$\times$circle. The outer and inner tori boundaries have an opposite sense of orientation from the bulk point of view.$ $Plot of the potentials, $V(r)$, for $N/2$ being even (on the left) and odd integers (on the right). For $N=2$, we have $V(r)=-\log|r|$ (in gray) indicating eigenvalue repulsion in the GUE. For $N>2$ we get ``double-well$