Averaging over Narain moduli space
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Publication:2657814
DOI10.1007/JHEP10(2020)187zbMATH Open1456.83067arXiv2006.04855OpenAlexW3095881064WikidataQ112153905 ScholiaQ112153905MaRDI QIDQ2657814
Author name not available (Why is that?)
Publication date: 14 March 2021
Published in: (Search for Journal in Brave)
Abstract: Recent developments involving JT gravity in two dimensions indicate that under some conditions, a gravitational path integral is dual to an average over an ensemble of boundary theories, rather than to a specific boundary theory. For an example in one dimension more, one would like to compare a random ensemble of two-dimensional CFT's to Einstein gravity in three dimensions. But this is difficult. For a simpler problem, here we average over Narain's family of two-dimensional CFT's obtained by toroidal compactification. These theories are believed to be the most general ones with their central charges and abelian current algebra symmetries, so averaging over them means picking a random CFT with those properties. The average can be computed using the Siegel-Weil formula of number theory and has some properties suggestive of a bulk dual theory that would be an exotic theory of gravity in three dimensions. The bulk dual theory would be more like Chern-Simons theory than like Einstein gravity.
Full work available at URL: https://arxiv.org/abs/2006.04855
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