Gauge Symmetry Breaking and Generalized Monopole in Non-BPS D-Brane Action

TL;DR

This paper demonstrates how tachyon condensation on non-BPS D9-branes leads to gauge symmetry breaking and the formation of BPS D4-branes via a generalized monopole configuration, linking to higher K-theory.

Contribution

It provides an explicit construction of gauge symmetry breaking and monopole formation in non-BPS D-branes within type IIA string theory, connecting to higher K-theory.

Findings

Tachyon condensation produces BPS D4-branes from non-BPS D9-branes.

The gauge field configuration yields a non-zero generalized magnetic charge.

The work relates monopole solutions to higher K-theory groups.

Abstract

Based on the DBI action for the four coincident non-BPS D9-branes in the type IIA string theory we demonstrate that the gauge symmetry breaking through the tachyon condensation into the generalized monopole of codimension five produces a pair of two coincident BPS D4-branes. The nontrivial gauge field configuration is studied and shown to yield the non-zero generalized magnetic charge. We discuss how this explicit demonstration is related with the higher K-theory group.