A Simple Volcano Potential with an Analytic, Zero-Energy, Ground State

Abstract

We describe a simple volcano potential, which is supersymmetric and has an analytic, zero-energy, ground state. (The KK modes are also analytic.) It is an interior harmonic oscillator potential properly matched to an exterior angular momentum-like tail. Special cases are given to elucidate the physics, which may be intuitively useful in studies of higher-dimensional gravity.

8 pages, 3 figures

References in corpus (2)

• An Alternative to Compactification
• Four-dimensional gravity on a thick domain wall

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