BPS mass spectrum from D-brane action

TL;DR

This paper derives BPS mass formulas for D-branes from the Born-Infeld action, confirming their consistency with string duality and reproducing expected BPS spectra in specific compactifications.

Contribution

It provides a derivation of BPS mass formulas directly from the D-brane action, linking geometric volume minimization to BPS saturation in string compactifications.

Findings

Derived BPS mass formulas from D-brane actions.

Confirmed consistency with string duality.

Reproduced expected BPS spectra in compactified models.

Abstract

We derive the BPS mass formulae of the Dirichlet branes from the Born-Infeld type action. BPS saturation is realized when the brane has the minimal volume while keeping the appropriate winding numbers. We apply the idea to two cases, type IIA superstring compactified on $T^4$ and $K3$. The result is consistent with the string duality, and the expected spectrum for the BPS states is reproduced.