Born-Infeld-Goldstone superfield actions for gauge-fixed D-5- and D-3-branes in 6d

TL;DR

This paper constructs supersymmetric Born-Infeld actions for gauge-fixed D-branes in 6d, extending to a new (1,0) supersymmetric case and relating it to 4d models, highlighting partial supersymmetry breaking.

Contribution

It introduces a new 6d (1,0) supersymmetric Born-Infeld action and relates it to 4d models, advancing the understanding of supersymmetric D-brane actions.

Findings

Constructed supersymmetric Born-Infeld actions for D-5 and D-3 branes in 6d.

Related 6d action to a 4d N=2 supersymmetric Born-Infeld-Nambu-Goto action.

Demonstrated partial supersymmetry breaking with linearly realized unbroken supersymmetry.

Abstract

The supersymmetric Born-Infeld actions describing gauge-fixed D-5- and D-3-branes in ambient six-dimensional (6d) spacetime are constructed in superspace. A new 6d action is the (1,0) supersymmetric extension of the 6d Born-Infeld action. It is related via dimensional reduction to another remarkable 4d action describing the N=2 supersymmetric extension of the Born-Infeld-Nambu-Goto action with two real scalars. Both actions are the Goldstone actions associated with partial (1/2) spontaneous breaking of extended supersymmetry having 16 supercharges down to 8 supercharges. Both actions can be put into the `non-linear sigma-model' form by using certain non-linear superfield constraints. The unbroken supersymmetry is always linearly realised in our construction.