Dynamics of BPS States in the Dirac-Born-Infeld Theory

TL;DR

This paper investigates the properties and interactions of BPS states on D3 branes within the Dirac-Born-Infeld framework, focusing on their responses to low-energy excitations and resulting static and kinetic interactions.

Contribution

It provides a detailed analysis of 1/2 and 1/4 BPS states and their interactions in the Dirac-Born-Infeld theory, highlighting their response to brane excitations.

Findings

Characterization of 1/2 and 1/4 BPS states on D3 branes.

Identification of static and kinetic interactions between BPS states.

Response of BPS states to low-energy scalar and gauge field excitations.

Abstract

The Dirac-Born-Infeld action with transverse scalar fields is considered to study the dynamics of various BPS states. We first describe the characteristic properties of the so-called 1/2 and 1/4 BPS states on the D3 brane, which can be interpreted as F/D-strings ending on a D3-brane in Type IIB string theory picture. We then study the response of the BPS states to low energy excitations of massless fields on the brane, the scalar fields representing the shape fluctuation of the brane and U(1) gauge fields describing the open string excitations on the D-brane. This leads to an identification of interactions between BPS states including the static potentials and the kinetic interactions.