Non-BPS Brane Dynamics And Duality

TL;DR

This paper demonstrates the equivalence between different formulations of non-BPS brane actions in superspace, including Green-Schwarz, Nambu-Goto, and Born-Infeld forms, using duality transformations and field redefinitions.

Contribution

It provides a detailed derivation of the duality between non-BPS p=2 brane and D2-brane actions in superspace, clarifying their equivalence through explicit field redefinitions.

Findings

Green-Schwarz action is equivalent to Nambu-Goto-Akulov-Volkov action.

The p=2 brane action can be recast into a D2-brane Born-Infeld form.

Different action formulations are shown to be equivalent via field redefinitions.

Abstract

The Green-Schwarz action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace is shown to be equivalent to the Nambu-Goto-Akulov-Volkov action obtained via the nonlinear realization of the associated target space super-Poincare symmetries. Introducing a U(1) gauge field strength as a Lagrange multiplier, this p=2 brane action is re-cast into its equivalent dual form non-BPS D2-brane Born-Infeld action. Following the procedure given by Sen, the Green-Schwarz action for a non-BPS D2-brane is determined directly. From it, conversely, the dual form non-BPS p=2 brane action is derived. The p=2 brane and the D2-brane actions obtained by these two approaches are different in form. Through explicitly determined field redefinitions, these actions are shown to be equivalent.