Holography with Schroedinger Potentials

TL;DR

This paper explores the relationship between Schroedinger potentials in a quantum mechanics analogy and holographic theories in AdS_5, revealing how potential shapes relate to bulk parameters and phenomenological applications.

Contribution

It demonstrates the usefulness of the Schroedinger potential analogy in understanding holographic theories and their phenomenological implications.

Findings

Different shapes of Schroedinger potentials correlate with bulk mass parameters.

The quantum mechanical analogy provides insights into the holographic duality.

Applications to phenomenology illustrate the practical relevance of the approach.

Abstract

We examine the analogue one-dimensional quantum mechanics problem associated with bulk scalars and fermions in a slice of AdS_5. The ``Schroedinger'' potential can take on different qualitative shapes depending on the values of the mass parameters in the bulk theory. Several interesting correlations between the shape of the Schroedinger potential and the holographic theory exist. We show that the quantum mechanical picture is a useful guide to the holographic theory by examining applications from phenomenology.