Dual formulation of covariant nonlinear duality-symmetric action of kappa-symmetric D3-brane

TL;DR

This paper develops a covariant nonlinear duality-symmetric formulation for D3-branes, extending previous models with auxiliary fields, and demonstrates its consistency with duality relations and kappa-symmetry.

Contribution

It introduces a new covariant duality-symmetric action for D3-branes using PST formalism, including nonlinear interactions and kappa-symmetry proof.

Findings

Constructed covariant nonlinear duality-symmetric actions for D3-branes.

Shown the duality relations match between different formulations.

Proved kappa-symmetry of the new D3-brane action.

Abstract

We study the construction of covariant nonlinear duality-symmetric actions in dual formulation. Essentially, the construction is the PST-covariantisation and nonlinearisation of Zwanziger action. The covariantisation made use of three auxiliary scalar fields. Apart from these, the construction proceed in a similar way to that of the standard formulation. For example, the theories can be extended to include interactions with external fields, and that the theories possess two local PST symmetries. We then explicitly demonstrate the construction of covariant nonlinear duality-symmetric actions in dual formulation of DBI theory, and D3-brane. For each of these theories, the twisted self-duality condition obtained from duality-symmetric actions are explicitly shown to match with the duality relation between field strength and its dual from the one-potential actions. Their on-shell actions between the duality-symmetric and the one potential versions are also shown to match. We also explicitly prove kappa-symmetry of the covariant nonlinear duality-symmetric D3-brane action in dual formulation.