Nonlinear Realization and Weyl Scale Invariant p=2 Brane

TL;DR

This paper derives a Weyl scale invariant action for a p=2 brane in superspace using nonlinear realization, constructs its dual form, and explores matter interactions and covariant derivatives on the brane.

Contribution

It introduces a novel nonlinear realization approach to derive Weyl scale invariant brane actions and their duals, including matter interactions and covariant derivatives.

Findings

Derived Weyl scale invariant p=2 brane action.

Constructed dual form of the supersymmetric D2 brane.

Analyzed matter field interactions and covariant derivatives.

Abstract

The action of Weyl scale invariant p=2 brane which breaks the target super Weyl scale symmetry in the N=1, D=4 superspace down to the lower dimensional Weyl symmetry W(1,2) is derived by the approach of nonlinear realization. The dual form action for the Weyl scale invariant supersymmetric D2 brane is also constructed. The interactions of localized matter fields on the brane with the Nambu-Goldstone fields associated with the breaking of the symmetries in the superspace and one spatial translation directions are obtained through the Cartan one-forms of the Coset structures. The covariant derivatives for the localized matter fields are also obtained by introducing Weyl gauge field as the compensating field corresponding to the local scale transformation on the brane world volume.