TL;DR
This paper constructs a minimal holographic model for a 1D free quantum particle using 2D topological BF theories, aiming to explore holography in the simplest quantum systems.
Contribution
It introduces a novel holographic dual for a basic quantum mechanical system, expanding the understanding of holography beyond complex quantum field theories.
Findings
Holographic dual involves 2D topological abelian BF theories.
Boundary conditions and interactions are explicitly constructed.
Provides a minimal setup to study holography in quantum mechanics.
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.