Towards holography for quantum mechanics
arXiv:1805.03606 · doi:10.1007/JHEP09(2018)045
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.
13 pages; v2: references added; v3: discussion slightly extended, updated to match published version