Polarization of the D0 ground state in Quantum Mechanics and Supergravity

TL;DR

This paper investigates how a D4-brane influences the polarization of the D0-brane ground state in quantum mechanics and supergravity, revealing structural similarities and implications for duality in string theory.

Contribution

It demonstrates quantum polarization effects of D0-branes induced by a D4-brane background, connecting quantum mechanical and supergravity descriptions.

Findings

D4-brane background causes quantum polarization of D0 ground state

Deformation structures are consistent between quantum mechanics and supergravity

Comments on D0-branes as instantons and infrared issues in 't Hooft scaling

Abstract

The presence of a distant D4-brane is used to further investigate the duality between M-theory and D0-brane quantum mechanics. Although the D4-brane background fields are not strong enough to induce a classical dielectric effect in the D0 system, a polarization of the quantum mechanical ground state does result. A similar deformation arises for the bubble of normal space found near D0-branes in classical supergravity solutions. These deformations are compared and are shown to have the same structure in each case. Brief comments are included on the relation of D0-branes in this background to D0-branes as instantons in the D4-brane field theory and an appendix addresses certain infrared issues associated with 't Hooft scaling in 0+1 dimensions.