TL;DR
This paper explores the geometric structure of supersymmetric Born-Infeld theory related to D-branes, revealing how Volkov-Akulov-type supersymmetry manifests and analyzing the supersymmetries in D-0-brane actions.
Contribution
It demonstrates the geometric form of the Born-Infeld action as Volkov-Akulov-type and links the supersymmetries to the Hamiltonian and BRST operator in D-brane models.
Findings
First non-linear supersymmetry is manifest
Second world-volume supersymmetry is not manifest
Hamiltonian and BRST operator derive from these supersymmetries
Abstract
The action of supersymmetric Born-Infeld theory (D-9-brane in a Lorentz covariant static gauge) has a geometric form of the Volkov-Akulov-type. The first non-linearly realized supersymmetry can be made manifest, the second world-volume supersymmetry is not manifest. We also study the analogous 2 supersymmetries of the quadratic action of the covariantly quantized D-0-brane. We show that the Hamiltonian and the BRST operator are build from these two supersymmetry generators.
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