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Boundary and bulk notions of transport in the AdS$_3$/CFT$_2$ correspondence

Authors :
Chen, Bowen
Czech, Bartlomiej
de Boer, Jan
Lamprou, Lampros
Wang, Zi-zhi
Publication Year :
2022

Abstract

We construct operators in holographic two-dimensional conformal field theory, which act locally in the code subspace as arbitrary bulk spacelike vector fields. Key to the construction is an interplay between parallel transport in the bulk spacetime and in kinematic space. We outline challenges, which arise when the same construction is extended to timelike vector fields. We also sketch several applications, including boundary formulations of the bulk Riemann tensor, dreibein, and spin connection, as well as an application to holographic complexity.<br />Comment: 31 pages, 5 figures

Subjects

Subjects :
High Energy Physics - Theory

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2211.15684
Document Type :
Working Paper
Full Text :
https://doi.org/10.1007/JHEP05(2023)102