Quantum Myers effect and its supergravity dual for D0/D4 systems

The presence of a distant D4-brane is used to further investigate the duality between M-theory and D0-brane quantum mechanics. A polarization of the quantum mechanical ground state is found. 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.Comment: 7 pages, based on a talk presented at the conference MRST 2001 at London, Canad

String bits and the Myers effect

Based on the non-abelian effective action for D1-branes, a new action for matrix string theory in non-trivial backgrounds is proposed. Once the background fields are included, new interactions bring the possibility of non-commutative solutions i.e. The Myers effect for ``string bits'' .Comment: 6 pages, talk given in the at the 24th annual Montreal-Rochester-Syracuse-Toronto (MRST) Conference on Theoretical Physics, May 15-1702 2002. Proceedings will be published by the American Institute of Physic

Polarization of the D0 ground state in Quantum Mechanics and Supergravity

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.Comment: 27 pages, 1 figure, new reference add, minor change on footnote 3, not apperaing on published editio