D-branes in Massive IIA and Solitons in Chern-Simons Theory

TL;DR

This paper explores the relationship between D-branes in massive IIA string theory and solitons in Chern-Simons theories, providing a brane-based framework for understanding boundary phenomena and anomaly inflow.

Contribution

It introduces a brane configuration that models non-supersymmetric and supersymmetric Chern-Simons theories, linking D-branes, strings, and solitons to boundary effects and anomaly inflow.

Findings

Fundamental strings identified as anyons in 2+1 Chern-Simons theory.

D0-branes modeled as solitons within the brane setup.

Proposed brane models for boundary Chern-Simons theories and anomaly inflow.

Abstract

We investigate D2-branes and D4-branes parallel to D8-branes. The low energy world volume theory on the branes is non-supersymmetric Chern-Simons theory. We identify the fundamental strings as the anyons of the 2+1 Chern-Simons theory and the D0-branes as solitons. The Chern-Simons theory with a boundary is modeled using NS 5-branes with ending D6-branes. The brane set-up provides for a graphical description of anomaly inflow. We also model the 4+1 Chern-Simons theory using branes and conjecture that D4-branes with a boundary describes a supersymmetric version of Kaplan's theory of chiral fermions.