Supersymmetric Brane-Antibrane Configurations

TL;DR

The paper identifies a class of flat supersymmetric D2–anti-D2 configurations obtained by turning on a specific worldvolume electric field, corresponding to dissolved fundamental strings, in a D2–anti-D2 system. It develops a unified description using matrix theory and supergravity: the worldvolume theory is a noncommutative Yang-Mills theory with spatial noncommutativity, the open-string metric matches the matrix theory prediction, and tachyonic instabilities are removed by the background fields. The configurations admit multi-centered, T-dual generalizations and exhibit D0 and F1 charges sourced by the worldvolume fields; D0–D2 solitons on D2 are constructed and shown to be stable, including moving solitons that evade tachyonic modes. The results deepen the connection between Born–Infeld/D-brane physics, noncommutative gauge theories, and their supergravity duals, and lay groundwork for exploring brane–antibrane systems with varied noncommutativity scales.

Abstract

We find a class of flat supersymmetric brane-antibrane configurations. They follow from ordinary brane-antibrane systems by turning on a specific worldvolume background electric field, which corresponds to dissolved fundamental strings. We have clarified in detail how they arise and identified their constituent charges as well as the corresponding supergravity solutions. Adopting the matrix theory description, we construct the worldvolume gauge theories and prove the absence of any tachyonic degrees. We also study supersymmetric solitons of the worldvolume theories.