English

Geons and the Quantum Information Metric

High Energy Physics - Theory 2017-07-26 v3

Abstract

We investigate the proposed duality between a quantum information metric in a \mboxCFTd+1\mbox{CFT}_{d+1} and the volume of a maximum time slice in the dual \mboxAdSd+2\mbox{AdS}_{d+2} for topological geons. Examining the specific cases of BTZ black holes and planar Schwarzschild-AdS black holes, along with their geon counterparts, we find that the proposed duality relation for geons is the same apart from a factor of 4. The information metric therefore provides a probe of the topology of the bulk spacetime.

Keywords

Cite

@article{arxiv.1612.06880,
  title  = {Geons and the Quantum Information Metric},
  author = {Musema Sinamuli and Robert B. Mann},
  journal= {arXiv preprint arXiv:1612.06880},
  year   = {2017}
}

Comments

8 pages, 2 figures

R2 v1 2026-06-22T17:30:04.317Z