D-brane Solitons in Supersymmetric Sigma-Models

Abstract

Massive D=4 N=2 supersymmetric sigma models typically admit domain wall (Q-kink) solutions and string (Q-lump) solutions, both preserving 1/2 supersymmetry. We exhibit a new static 1/4 supersymmetric `kink-lump' solution in which a string ends on a wall, and show that it has an effective realization as a BIon of the D=4 super DBI-action. It is also shown to have a time-dependent Q-kink-lump generalization which reduces to the Q-lump in a limit corresponding to infinite BI magnetic field. All these 1/4 supersymmetric sigma-model solitons are shown to be realized in M-theory as calibrated, or `Q-calibrated', M5-branes in an M-monopole background.

16 pages, 3 figures, Latex

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• Supersymmetry and generalized calibrations
• Supersymmetric Intersecting Domain Walls in Massive Hyper-Kahler Sigma Models
• Solitons on the Supermembrane
• Kinky D-Strings

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