Brane Dynamics From Non-Linear Realizations

TL;DR

This paper derives the action for a non-BPS p=2 brane in flat superspace using nonlinear realizations, revealing its connection to known brane actions and coupling to matter fields.

Contribution

It introduces a novel derivation of the brane action via nonlinear realizations, combining Akulov-Volkov and Nambu-Goto actions, and derives the dual D2-brane Born-Infeld action.

Findings

Derived the invariant brane action from super-Poincare symmetries.

Connected the action to Akulov-Volkov and Nambu-Goto forms.

Obtained the dual D2-brane Born-Infeld action and matter coupling.

Abstract

The action for a non-BPS p=2 brane embedded in a flat N=1, D=4 target superspace is obtained through the method of nonlinear realizations of the associated super-Poincare symmetries. The brane excitation modes correspond to the Nambu-Goldstone degrees of freedom resulting from the broken space translational symmetry and the target space supersymmetries. The action for this p=2 brane is found to be an invariant synthesis of the Akulov-Volkov and Nambu-Goto actions. The dual D2-brane Born-Infeld action is derived. The invariant coupling of matter fields localized on the brane to the Nambu-Goldstone modes is also obtained.