English

How General Is Holography?

High Energy Physics - Theory 2016-09-12 v1

Abstract

In this thesis I explore the generality of the holographic principle in 2+1 (bulk) dimensions by looking at the possibility of having holographic correspondences for non-AdS (higher-spin) spacetimes. The first part focuses on Lobachevsky spacetimes with sl(4,R)\mathfrak{sl}(4,\mathbb{R}) as well as WN(2)\mathcal{W}^{(2)}_N symmetries, the asymptotic symmetry algebras and their unitary representations. This results in a family of unitary WN(2)\mathcal{W}^{(2)}_N models that can have both small and large central charge. The focus of the second part is a possible holographic correspondence in asymptotically flat spacetimes. This part covers limits from known AdS3_3 results to flat space as well as a NO-GO result that forbids having flat space, higher-spins and unitarity at the same time. In addition this part shows how to consistently add (higher-spin) chemical potentials to flat space. As a non-trivial check of a holographic correspondence in flat space I provide a way to determine entanglement entropy (as well as thermal entropy of flat space cosmologies) holographically in asymptotically flat spacetimes using Wilson lines.

Keywords

Cite

@article{arxiv.1609.02733,
  title  = {How General Is Holography?},
  author = {Max Riegler},
  journal= {arXiv preprint arXiv:1609.02733},
  year   = {2016}
}

Comments

PhD Thesis; Defended on Sept. 7th, 2016; This thesis won the Victor-Franz Hess Prize awarded by the Austrian Physical Society

R2 v1 2026-06-22T15:44:48.414Z