Towards holography for quantum mechanics
High Energy Physics - Theory
2019-01-25 v3
Abstract
We derive a holographic description of the simplest quantum mechanical system, a 1d free particle. The dual formulation uses a couple of two-dimensional topological abelian BF theories with appropriate boundary conditions, interactions and constraints. The aim of this construction is not to use holography as a tool for quantum mechanics but rather to find the simplest possible setup in order to explore holography.
Cite
@article{arxiv.1805.03606,
title = {Towards holography for quantum mechanics},
author = {Romuald A. Janik},
journal= {arXiv preprint arXiv:1805.03606},
year = {2019}
}
Comments
13 pages; v2: references added; v3: discussion slightly extended, updated to match published version