Interactions between Dielectric Branes

TL;DR

This paper investigates quantum corrections to D0-brane energies in a background field, analyzing interactions between dielectric branes and exploring supersymmetry restoration at specific mass values.

Contribution

It extends the calculation of long-range interactions between dielectric branes to include mass terms and examines conditions for supersymmetry restoration.

Findings

Complete cancellations of boson-fermion pairs at special mass values

Potential partial restoration of supersymmetry

Interaction analysis between dielectric 2-brane and D0-brane

Abstract

Quantum corrections to the energy of D0-branes in a constant RR 4-form background are studied. Using the Born-Oppenheimer approximation, we compute the long-range interaction between two spherical D2-D0 bound states. We extend this calculation to the case where some mass terms are added. For the special value of masses at which the classical energy vanishes, we find complete cancellations of two boson-fermion pairs in the quantum mechanical expression of the zero-point energy, suggesting possible restoration of (partial) supersymmetries. We also briefly discuss the interaction between a dielectric 2-brane and a single D0-brane.