Note on Bulk Reconstruction in AdS$_3$/WCFT$_2$
High Energy Physics - Theory
2019-10-30 v1
Abstract
The bulk reconstructions in AdS/CFT and its cousins are essential to understand the holographic nature of quantum gravity. In this work, we try to study the bulk reconstruction in the AdS/WCFT correspondence. After deriving the bulk-boundary propagator, which is different from the usual one in AdS/CFT, we define the bulk proto-scalar field by using the Virasoro-Kac-Moody symmetry in two different ways. One is to impose the bulk primary conditions on the field and construct the field algebraically. The other is to use the bulk-boundary vacuum OPE block, which can be read by applying the diffeomorphism preserving the CSS boundary conditions. Two approaches lead to consistent picture.
Cite
@article{arxiv.1905.04680,
title = {Note on Bulk Reconstruction in AdS$_3$/WCFT$_2$},
author = {Yu-han Lin and Bin Chen},
journal= {arXiv preprint arXiv:1905.04680},
year = {2019}
}
Comments
20 pages